Characterization of generalized absolute Cesàro summability factors

Abstract Recently, Sarıgöl (in: Kuwait J Sci 42(3):28–35, 2015) has investigated the summability factors of type %$\varepsilon \in \left( {\left| {C,\alpha } \right|_{k} ,\left| {\bar{N}, p_{n} } \right|} \right)%$, for %$\alpha > - 1%$, %$k > 1%$ and arbitrary positive sequence %$\left( {p_{n...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Hazar Güleç, G. Canan [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2020

Schlagwörter:	Generalized absolute Cesàro summability Summability factors Inclusion relations

Übergeordnetes Werk:	Enthalten in: The journal of analysis - Madras : Forum, 1993, 29(2020), 1 vom: 14. Juni, Seite 105-111
Übergeordnetes Werk:	volume:29 ; year:2020 ; number:1 ; day:14 ; month:06 ; pages:105-111

Links:	Volltext

DOI / URN:	10.1007/s41478-020-00249-7

Katalog-ID:	SPR043510728

Internformat


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520			\|a Abstract Recently, Sarıgöl (in: Kuwait J Sci 42(3):28–35, 2015) has investigated the summability factors of type %$\varepsilon \in \left( {\left\| {C,\alpha } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, for %$\alpha > - 1%$, %$k > 1%$ and arbitrary positive sequence %$\left( {p_{n} } \right)%$, which extends some well known results. The aim of this paper is to generalize these results using more general summability %$\left\| {C,\alpha ,\beta } \right\|_{k}%$, %$k \ge 1.%$ More precisely, we give characterization of the summability factors of the types %$\left( {\left\| {C,\alpha ,\beta } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, %$k > 1%$ and %$\left( {\left\| {\bar{N}, p_{n} } \right\|,\left\| {C,\alpha ,\beta } \right\|_{k} } \right) , k \ge 1%$ for %$\alpha + \beta > - 1%$ and a positive sequence %$\left( {p_{n} } \right)%$.
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650		4	\|a Summability factors \|7 (dpeaa)DE-He213
650		4	\|a Inclusion relations \|7 (dpeaa)DE-He213
773	0	8	\|i Enthalten in \|t The journal of analysis \|d Madras : Forum, 1993 \|g 29(2020), 1 vom: 14. Juni, Seite 105-111 \|w (DE-627)835551512 \|w (DE-600)2835863-6 \|x 2367-2501 \|7 nnns
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912			\|a GBV_ILN_2113
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912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
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912			\|a GBV_ILN_2144
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912			\|a GBV_ILN_2336
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author_variant	g g c h ggc ggch
matchkey_str	article:23672501:2020----::hrceiainfeeaieasltcsou
hierarchy_sort_str	2020
publishDate	2020
allfields	10.1007/s41478-020-00249-7 doi (DE-627)SPR043510728 (DE-599)SPRs41478-020-00249-7-e (SPR)s41478-020-00249-7-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Hazar Güleç, G. Canan verfasserin aut Characterization of generalized absolute Cesàro summability factors 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Recently, Sarıgöl (in: Kuwait J Sci 42(3):28–35, 2015) has investigated the summability factors of type %$\varepsilon \in \left( {\left\| {C,\alpha } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, for %$\alpha > - 1%$, %$k > 1%$ and arbitrary positive sequence %$\left( {p_{n} } \right)%$, which extends some well known results. The aim of this paper is to generalize these results using more general summability %$\left\| {C,\alpha ,\beta } \right\|_{k}%$, %$k \ge 1.%$ More precisely, we give characterization of the summability factors of the types %$\left( {\left\| {C,\alpha ,\beta } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, %$k > 1%$ and %$\left( {\left\| {\bar{N}, p_{n} } \right\|,\left\| {C,\alpha ,\beta } \right\|_{k} } \right) , k \ge 1%$ for %$\alpha + \beta > - 1%$ and a positive sequence %$\left( {p_{n} } \right)%$. Generalized absolute Cesàro summability (dpeaa)DE-He213 Summability factors (dpeaa)DE-He213 Inclusion relations (dpeaa)DE-He213 Enthalten in The journal of analysis Madras : Forum, 1993 29(2020), 1 vom: 14. Juni, Seite 105-111 (DE-627)835551512 (DE-600)2835863-6 2367-2501 nnns volume:29 year:2020 number:1 day:14 month:06 pages:105-111 https://dx.doi.org/10.1007/s41478-020-00249-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 29 2020 1 14 06 105-111
spelling	10.1007/s41478-020-00249-7 doi (DE-627)SPR043510728 (DE-599)SPRs41478-020-00249-7-e (SPR)s41478-020-00249-7-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Hazar Güleç, G. Canan verfasserin aut Characterization of generalized absolute Cesàro summability factors 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Recently, Sarıgöl (in: Kuwait J Sci 42(3):28–35, 2015) has investigated the summability factors of type %$\varepsilon \in \left( {\left\| {C,\alpha } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, for %$\alpha > - 1%$, %$k > 1%$ and arbitrary positive sequence %$\left( {p_{n} } \right)%$, which extends some well known results. The aim of this paper is to generalize these results using more general summability %$\left\| {C,\alpha ,\beta } \right\|_{k}%$, %$k \ge 1.%$ More precisely, we give characterization of the summability factors of the types %$\left( {\left\| {C,\alpha ,\beta } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, %$k > 1%$ and %$\left( {\left\| {\bar{N}, p_{n} } \right\|,\left\| {C,\alpha ,\beta } \right\|_{k} } \right) , k \ge 1%$ for %$\alpha + \beta > - 1%$ and a positive sequence %$\left( {p_{n} } \right)%$. Generalized absolute Cesàro summability (dpeaa)DE-He213 Summability factors (dpeaa)DE-He213 Inclusion relations (dpeaa)DE-He213 Enthalten in The journal of analysis Madras : Forum, 1993 29(2020), 1 vom: 14. Juni, Seite 105-111 (DE-627)835551512 (DE-600)2835863-6 2367-2501 nnns volume:29 year:2020 number:1 day:14 month:06 pages:105-111 https://dx.doi.org/10.1007/s41478-020-00249-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 29 2020 1 14 06 105-111
allfields_unstemmed	10.1007/s41478-020-00249-7 doi (DE-627)SPR043510728 (DE-599)SPRs41478-020-00249-7-e (SPR)s41478-020-00249-7-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Hazar Güleç, G. Canan verfasserin aut Characterization of generalized absolute Cesàro summability factors 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Recently, Sarıgöl (in: Kuwait J Sci 42(3):28–35, 2015) has investigated the summability factors of type %$\varepsilon \in \left( {\left\| {C,\alpha } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, for %$\alpha > - 1%$, %$k > 1%$ and arbitrary positive sequence %$\left( {p_{n} } \right)%$, which extends some well known results. The aim of this paper is to generalize these results using more general summability %$\left\| {C,\alpha ,\beta } \right\|_{k}%$, %$k \ge 1.%$ More precisely, we give characterization of the summability factors of the types %$\left( {\left\| {C,\alpha ,\beta } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, %$k > 1%$ and %$\left( {\left\| {\bar{N}, p_{n} } \right\|,\left\| {C,\alpha ,\beta } \right\|_{k} } \right) , k \ge 1%$ for %$\alpha + \beta > - 1%$ and a positive sequence %$\left( {p_{n} } \right)%$. Generalized absolute Cesàro summability (dpeaa)DE-He213 Summability factors (dpeaa)DE-He213 Inclusion relations (dpeaa)DE-He213 Enthalten in The journal of analysis Madras : Forum, 1993 29(2020), 1 vom: 14. Juni, Seite 105-111 (DE-627)835551512 (DE-600)2835863-6 2367-2501 nnns volume:29 year:2020 number:1 day:14 month:06 pages:105-111 https://dx.doi.org/10.1007/s41478-020-00249-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 29 2020 1 14 06 105-111
allfieldsGer	10.1007/s41478-020-00249-7 doi (DE-627)SPR043510728 (DE-599)SPRs41478-020-00249-7-e (SPR)s41478-020-00249-7-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Hazar Güleç, G. Canan verfasserin aut Characterization of generalized absolute Cesàro summability factors 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Recently, Sarıgöl (in: Kuwait J Sci 42(3):28–35, 2015) has investigated the summability factors of type %$\varepsilon \in \left( {\left\| {C,\alpha } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, for %$\alpha > - 1%$, %$k > 1%$ and arbitrary positive sequence %$\left( {p_{n} } \right)%$, which extends some well known results. The aim of this paper is to generalize these results using more general summability %$\left\| {C,\alpha ,\beta } \right\|_{k}%$, %$k \ge 1.%$ More precisely, we give characterization of the summability factors of the types %$\left( {\left\| {C,\alpha ,\beta } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, %$k > 1%$ and %$\left( {\left\| {\bar{N}, p_{n} } \right\|,\left\| {C,\alpha ,\beta } \right\|_{k} } \right) , k \ge 1%$ for %$\alpha + \beta > - 1%$ and a positive sequence %$\left( {p_{n} } \right)%$. Generalized absolute Cesàro summability (dpeaa)DE-He213 Summability factors (dpeaa)DE-He213 Inclusion relations (dpeaa)DE-He213 Enthalten in The journal of analysis Madras : Forum, 1993 29(2020), 1 vom: 14. Juni, Seite 105-111 (DE-627)835551512 (DE-600)2835863-6 2367-2501 nnns volume:29 year:2020 number:1 day:14 month:06 pages:105-111 https://dx.doi.org/10.1007/s41478-020-00249-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 29 2020 1 14 06 105-111
allfieldsSound	10.1007/s41478-020-00249-7 doi (DE-627)SPR043510728 (DE-599)SPRs41478-020-00249-7-e (SPR)s41478-020-00249-7-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE Hazar Güleç, G. Canan verfasserin aut Characterization of generalized absolute Cesàro summability factors 2020 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Recently, Sarıgöl (in: Kuwait J Sci 42(3):28–35, 2015) has investigated the summability factors of type %$\varepsilon \in \left( {\left\| {C,\alpha } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, for %$\alpha > - 1%$, %$k > 1%$ and arbitrary positive sequence %$\left( {p_{n} } \right)%$, which extends some well known results. The aim of this paper is to generalize these results using more general summability %$\left\| {C,\alpha ,\beta } \right\|_{k}%$, %$k \ge 1.%$ More precisely, we give characterization of the summability factors of the types %$\left( {\left\| {C,\alpha ,\beta } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, %$k > 1%$ and %$\left( {\left\| {\bar{N}, p_{n} } \right\|,\left\| {C,\alpha ,\beta } \right\|_{k} } \right) , k \ge 1%$ for %$\alpha + \beta > - 1%$ and a positive sequence %$\left( {p_{n} } \right)%$. Generalized absolute Cesàro summability (dpeaa)DE-He213 Summability factors (dpeaa)DE-He213 Inclusion relations (dpeaa)DE-He213 Enthalten in The journal of analysis Madras : Forum, 1993 29(2020), 1 vom: 14. Juni, Seite 105-111 (DE-627)835551512 (DE-600)2835863-6 2367-2501 nnns volume:29 year:2020 number:1 day:14 month:06 pages:105-111 https://dx.doi.org/10.1007/s41478-020-00249-7 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 29 2020 1 14 06 105-111
language	English
source	Enthalten in The journal of analysis 29(2020), 1 vom: 14. Juni, Seite 105-111 volume:29 year:2020 number:1 day:14 month:06 pages:105-111
sourceStr	Enthalten in The journal of analysis 29(2020), 1 vom: 14. Juni, Seite 105-111 volume:29 year:2020 number:1 day:14 month:06 pages:105-111
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Generalized absolute Cesàro summability Summability factors Inclusion relations
dewey-raw	510
isfreeaccess_bool	false
container_title	The journal of analysis
authorswithroles_txt_mv	Hazar Güleç, G. Canan @@aut@@
publishDateDaySort_date	2020-06-14T00:00:00Z
hierarchy_top_id	835551512
dewey-sort	3510
id	SPR043510728
language_de	englisch
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Canan</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Characterization of generalized absolute Cesàro summability factors</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2020</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract Recently, Sarıgöl (in: Kuwait J Sci 42(3):28–35, 2015) has investigated the summability factors of type %$\varepsilon \in \left( {\left\| {C,\alpha } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, for %$\alpha > - 1%$, %$k > 1%$ and arbitrary positive sequence %$\left( {p_{n} } \right)%$, which extends some well known results. The aim of this paper is to generalize these results using more general summability %$\left\| {C,\alpha ,\beta } \right\|_{k}%$, %$k \ge 1.%$ More precisely, we give characterization of the summability factors of the types %$\left( {\left\| {C,\alpha ,\beta } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, %$k > 1%$ and %$\left( {\left\| {\bar{N}, p_{n} } \right\|,\left\| {C,\alpha ,\beta } \right\|_{k} } \right) , k \ge 1%$ for %$\alpha + \beta > - 1%$ and a positive sequence %$\left( {p_{n} } \right)%$.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Generalized absolute Cesàro summability</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Summability factors</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Inclusion relations</subfield><subfield code="7">(dpeaa)DE-He213</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">The journal of analysis</subfield><subfield code="d">Madras : Forum, 1993</subfield><subfield code="g">29(2020), 1 vom: 14. 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author	Hazar Güleç, G. Canan
spellingShingle	Hazar Güleç, G. Canan ddc 510 misc Generalized absolute Cesàro summability misc Summability factors misc Inclusion relations Characterization of generalized absolute Cesàro summability factors
authorStr	Hazar Güleç, G. Canan
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topic_title	510 ASE Characterization of generalized absolute Cesàro summability factors Generalized absolute Cesàro summability (dpeaa)DE-He213 Summability factors (dpeaa)DE-He213 Inclusion relations (dpeaa)DE-He213
topic	ddc 510 misc Generalized absolute Cesàro summability misc Summability factors misc Inclusion relations
topic_unstemmed	ddc 510 misc Generalized absolute Cesàro summability misc Summability factors misc Inclusion relations
topic_browse	ddc 510 misc Generalized absolute Cesàro summability misc Summability factors misc Inclusion relations
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title	Characterization of generalized absolute Cesàro summability factors
ctrlnum	(DE-627)SPR043510728 (DE-599)SPRs41478-020-00249-7-e (SPR)s41478-020-00249-7-e
title_full	Characterization of generalized absolute Cesàro summability factors
author_sort	Hazar Güleç, G. Canan
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author-letter	Hazar Güleç, G. Canan
doi_str_mv	10.1007/s41478-020-00249-7
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title_sort	characterization of generalized absolute cesàro summability factors
title_auth	Characterization of generalized absolute Cesàro summability factors
abstract	Abstract Recently, Sarıgöl (in: Kuwait J Sci 42(3):28–35, 2015) has investigated the summability factors of type %$\varepsilon \in \left( {\left\| {C,\alpha } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, for %$\alpha > - 1%$, %$k > 1%$ and arbitrary positive sequence %$\left( {p_{n} } \right)%$, which extends some well known results. The aim of this paper is to generalize these results using more general summability %$\left\| {C,\alpha ,\beta } \right\|_{k}%$, %$k \ge 1.%$ More precisely, we give characterization of the summability factors of the types %$\left( {\left\| {C,\alpha ,\beta } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, %$k > 1%$ and %$\left( {\left\| {\bar{N}, p_{n} } \right\|,\left\| {C,\alpha ,\beta } \right\|_{k} } \right) , k \ge 1%$ for %$\alpha + \beta > - 1%$ and a positive sequence %$\left( {p_{n} } \right)%$.
abstractGer	Abstract Recently, Sarıgöl (in: Kuwait J Sci 42(3):28–35, 2015) has investigated the summability factors of type %$\varepsilon \in \left( {\left\| {C,\alpha } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, for %$\alpha > - 1%$, %$k > 1%$ and arbitrary positive sequence %$\left( {p_{n} } \right)%$, which extends some well known results. The aim of this paper is to generalize these results using more general summability %$\left\| {C,\alpha ,\beta } \right\|_{k}%$, %$k \ge 1.%$ More precisely, we give characterization of the summability factors of the types %$\left( {\left\| {C,\alpha ,\beta } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, %$k > 1%$ and %$\left( {\left\| {\bar{N}, p_{n} } \right\|,\left\| {C,\alpha ,\beta } \right\|_{k} } \right) , k \ge 1%$ for %$\alpha + \beta > - 1%$ and a positive sequence %$\left( {p_{n} } \right)%$.
abstract_unstemmed	Abstract Recently, Sarıgöl (in: Kuwait J Sci 42(3):28–35, 2015) has investigated the summability factors of type %$\varepsilon \in \left( {\left\| {C,\alpha } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, for %$\alpha > - 1%$, %$k > 1%$ and arbitrary positive sequence %$\left( {p_{n} } \right)%$, which extends some well known results. The aim of this paper is to generalize these results using more general summability %$\left\| {C,\alpha ,\beta } \right\|_{k}%$, %$k \ge 1.%$ More precisely, we give characterization of the summability factors of the types %$\left( {\left\| {C,\alpha ,\beta } \right\|_{k} ,\left\| {\bar{N}, p_{n} } \right\|} \right)%$, %$k > 1%$ and %$\left( {\left\| {\bar{N}, p_{n} } \right\|,\left\| {C,\alpha ,\beta } \right\|_{k} } \right) , k \ge 1%$ for %$\alpha + \beta > - 1%$ and a positive sequence %$\left( {p_{n} } \right)%$.
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title_short	Characterization of generalized absolute Cesàro summability factors
url	https://dx.doi.org/10.1007/s41478-020-00249-7
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doi_str	10.1007/s41478-020-00249-7
up_date	2024-07-03T19:08:16.421Z
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Characterization of generalized absolute Cesàro summability factors

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