Summability of Elongated Sequences

Abstract A sequence sn ⊂ℂ is being elongated with respect to a sequence mn ⊂ℕ if the term sn is listed mn-times and the resulting modified sequence is considered instead of sn. As a main result it is shown that there exists an elongation of the partial sums of a power series which is Cesáro summable...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Gharibyan, Tatevik L. [verfasserIn] Luh, Wolfgang

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2010

Schlagwörter:	Elongation of sequences Cesáro summability over convergence

Anmerkung:	© Heldermann Verlag 2011

Übergeordnetes Werk:	Enthalten in: Computational methods and function theory - Berlin : Springer, 2001, 11(2010), 1 vom: 10. Mai, Seite 59-70
Übergeordnetes Werk:	volume:11 ; year:2010 ; number:1 ; day:10 ; month:05 ; pages:59-70

Links:	Volltext

DOI / URN:	10.1007/BF03321790

Katalog-ID:	SPR036858900

Internformat


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520			\|a Abstract A sequence sn ⊂ℂ is being elongated with respect to a sequence mn ⊂ℕ if the term sn is listed mn-times and the resulting modified sequence is considered instead of sn. As a main result it is shown that there exists an elongation of the partial sums of a power series which is Cesáro summable outside the circle of convergence if and only if the power series is overcon vergent.
650		4	\|a Elongation of sequences \|7 (dpeaa)DE-He213
650		4	\|a Cesáro summability \|7 (dpeaa)DE-He213
650		4	\|a over convergence \|7 (dpeaa)DE-He213
700	1		\|a Luh, Wolfgang \|4 aut
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912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
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912			\|a GBV_ILN_285
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912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
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912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
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912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4277
912			\|a GBV_ILN_4305
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matchkey_str	article:21953724:2010----::umbltoeogt
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publishDate	2010
allfields	10.1007/BF03321790 doi (DE-627)SPR036858900 (SPR)BF03321790-e DE-627 ger DE-627 rakwb eng Gharibyan, Tatevik L. verfasserin aut Summability of Elongated Sequences 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag 2011 Abstract A sequence sn ⊂ℂ is being elongated with respect to a sequence mn ⊂ℕ if the term sn is listed mn-times and the resulting modified sequence is considered instead of sn. As a main result it is shown that there exists an elongation of the partial sums of a power series which is Cesáro summable outside the circle of convergence if and only if the power series is overcon vergent. Elongation of sequences (dpeaa)DE-He213 Cesáro summability (dpeaa)DE-He213 over convergence (dpeaa)DE-He213 Luh, Wolfgang aut Enthalten in Computational methods and function theory Berlin : Springer, 2001 11(2010), 1 vom: 10. Mai, Seite 59-70 (DE-627)392236362 (DE-600)2157081-4 2195-3724 nnns volume:11 year:2010 number:1 day:10 month:05 pages:59-70 https://dx.doi.org/10.1007/BF03321790 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_2018 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 11 2010 1 10 05 59-70
spelling	10.1007/BF03321790 doi (DE-627)SPR036858900 (SPR)BF03321790-e DE-627 ger DE-627 rakwb eng Gharibyan, Tatevik L. verfasserin aut Summability of Elongated Sequences 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag 2011 Abstract A sequence sn ⊂ℂ is being elongated with respect to a sequence mn ⊂ℕ if the term sn is listed mn-times and the resulting modified sequence is considered instead of sn. As a main result it is shown that there exists an elongation of the partial sums of a power series which is Cesáro summable outside the circle of convergence if and only if the power series is overcon vergent. Elongation of sequences (dpeaa)DE-He213 Cesáro summability (dpeaa)DE-He213 over convergence (dpeaa)DE-He213 Luh, Wolfgang aut Enthalten in Computational methods and function theory Berlin : Springer, 2001 11(2010), 1 vom: 10. Mai, Seite 59-70 (DE-627)392236362 (DE-600)2157081-4 2195-3724 nnns volume:11 year:2010 number:1 day:10 month:05 pages:59-70 https://dx.doi.org/10.1007/BF03321790 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_2018 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 11 2010 1 10 05 59-70
allfields_unstemmed	10.1007/BF03321790 doi (DE-627)SPR036858900 (SPR)BF03321790-e DE-627 ger DE-627 rakwb eng Gharibyan, Tatevik L. verfasserin aut Summability of Elongated Sequences 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag 2011 Abstract A sequence sn ⊂ℂ is being elongated with respect to a sequence mn ⊂ℕ if the term sn is listed mn-times and the resulting modified sequence is considered instead of sn. As a main result it is shown that there exists an elongation of the partial sums of a power series which is Cesáro summable outside the circle of convergence if and only if the power series is overcon vergent. Elongation of sequences (dpeaa)DE-He213 Cesáro summability (dpeaa)DE-He213 over convergence (dpeaa)DE-He213 Luh, Wolfgang aut Enthalten in Computational methods and function theory Berlin : Springer, 2001 11(2010), 1 vom: 10. Mai, Seite 59-70 (DE-627)392236362 (DE-600)2157081-4 2195-3724 nnns volume:11 year:2010 number:1 day:10 month:05 pages:59-70 https://dx.doi.org/10.1007/BF03321790 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_2018 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 11 2010 1 10 05 59-70
allfieldsGer	10.1007/BF03321790 doi (DE-627)SPR036858900 (SPR)BF03321790-e DE-627 ger DE-627 rakwb eng Gharibyan, Tatevik L. verfasserin aut Summability of Elongated Sequences 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag 2011 Abstract A sequence sn ⊂ℂ is being elongated with respect to a sequence mn ⊂ℕ if the term sn is listed mn-times and the resulting modified sequence is considered instead of sn. As a main result it is shown that there exists an elongation of the partial sums of a power series which is Cesáro summable outside the circle of convergence if and only if the power series is overcon vergent. Elongation of sequences (dpeaa)DE-He213 Cesáro summability (dpeaa)DE-He213 over convergence (dpeaa)DE-He213 Luh, Wolfgang aut Enthalten in Computational methods and function theory Berlin : Springer, 2001 11(2010), 1 vom: 10. Mai, Seite 59-70 (DE-627)392236362 (DE-600)2157081-4 2195-3724 nnns volume:11 year:2010 number:1 day:10 month:05 pages:59-70 https://dx.doi.org/10.1007/BF03321790 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_2018 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 11 2010 1 10 05 59-70
allfieldsSound	10.1007/BF03321790 doi (DE-627)SPR036858900 (SPR)BF03321790-e DE-627 ger DE-627 rakwb eng Gharibyan, Tatevik L. verfasserin aut Summability of Elongated Sequences 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag 2011 Abstract A sequence sn ⊂ℂ is being elongated with respect to a sequence mn ⊂ℕ if the term sn is listed mn-times and the resulting modified sequence is considered instead of sn. As a main result it is shown that there exists an elongation of the partial sums of a power series which is Cesáro summable outside the circle of convergence if and only if the power series is overcon vergent. Elongation of sequences (dpeaa)DE-He213 Cesáro summability (dpeaa)DE-He213 over convergence (dpeaa)DE-He213 Luh, Wolfgang aut Enthalten in Computational methods and function theory Berlin : Springer, 2001 11(2010), 1 vom: 10. Mai, Seite 59-70 (DE-627)392236362 (DE-600)2157081-4 2195-3724 nnns volume:11 year:2010 number:1 day:10 month:05 pages:59-70 https://dx.doi.org/10.1007/BF03321790 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_2018 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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4277 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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 11 2010 1 10 05 59-70
language	English
source	Enthalten in Computational methods and function theory 11(2010), 1 vom: 10. Mai, Seite 59-70 volume:11 year:2010 number:1 day:10 month:05 pages:59-70
sourceStr	Enthalten in Computational methods and function theory 11(2010), 1 vom: 10. Mai, Seite 59-70 volume:11 year:2010 number:1 day:10 month:05 pages:59-70
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Elongation of sequences Cesáro summability over convergence
isfreeaccess_bool	false
container_title	Computational methods and function theory
authorswithroles_txt_mv	Gharibyan, Tatevik L. @@aut@@ Luh, Wolfgang @@aut@@
publishDateDaySort_date	2010-05-10T00:00:00Z
hierarchy_top_id	392236362
id	SPR036858900
language_de	englisch
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author	Gharibyan, Tatevik L.
spellingShingle	Gharibyan, Tatevik L. misc Elongation of sequences misc Cesáro summability misc over convergence Summability of Elongated Sequences
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topic_title	Summability of Elongated Sequences Elongation of sequences (dpeaa)DE-He213 Cesáro summability (dpeaa)DE-He213 over convergence (dpeaa)DE-He213
topic	misc Elongation of sequences misc Cesáro summability misc over convergence
topic_unstemmed	misc Elongation of sequences misc Cesáro summability misc over convergence
topic_browse	misc Elongation of sequences misc Cesáro summability misc over convergence
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Summability of Elongated Sequences
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title_full	Summability of Elongated Sequences
author_sort	Gharibyan, Tatevik L.
journal	Computational methods and function theory
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author_browse	Gharibyan, Tatevik L. Luh, Wolfgang
container_volume	11
format_se	Elektronische Aufsätze
author-letter	Gharibyan, Tatevik L.
doi_str_mv	10.1007/BF03321790
title_sort	summability of elongated sequences
title_auth	Summability of Elongated Sequences
abstract	Abstract A sequence sn ⊂ℂ is being elongated with respect to a sequence mn ⊂ℕ if the term sn is listed mn-times and the resulting modified sequence is considered instead of sn. As a main result it is shown that there exists an elongation of the partial sums of a power series which is Cesáro summable outside the circle of convergence if and only if the power series is overcon vergent. © Heldermann Verlag 2011
abstractGer	Abstract A sequence sn ⊂ℂ is being elongated with respect to a sequence mn ⊂ℕ if the term sn is listed mn-times and the resulting modified sequence is considered instead of sn. As a main result it is shown that there exists an elongation of the partial sums of a power series which is Cesáro summable outside the circle of convergence if and only if the power series is overcon vergent. © Heldermann Verlag 2011
abstract_unstemmed	Abstract A sequence sn ⊂ℂ is being elongated with respect to a sequence mn ⊂ℕ if the term sn is listed mn-times and the resulting modified sequence is considered instead of sn. As a main result it is shown that there exists an elongation of the partial sums of a power series which is Cesáro summable outside the circle of convergence if and only if the power series is overcon vergent. © Heldermann Verlag 2011
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title_short	Summability of Elongated Sequences
url	https://dx.doi.org/10.1007/BF03321790
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