Approximation by generalized Baskakov–Durrmeyer–Stancu type operators

Abstract In this paper, we introduce Stancu type modification of generalized Baskakov–Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and then we study the local approximation, weighted approximation result...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Kumar, A. Sathish [verfasserIn] Acar, Tuncer

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2016

Schlagwörter:	Baskakov–Durrmeyer operators Rate of convergence Weighted approximation Modulus of continuity Statistical convergence

Anmerkung:	© Springer-Verlag Italia 2016

Übergeordnetes Werk:	Enthalten in: Rendiconti del Circolo Matematico di Palermo - Milano : Springer Italia, 1884, 65(2016), 3 vom: 21. März, Seite 411-424
Übergeordnetes Werk:	volume:65 ; year:2016 ; number:3 ; day:21 ; month:03 ; pages:411-424

Links:	Volltext

DOI / URN:	10.1007/s12215-016-0242-1

Katalog-ID:	SPR025390724

Internformat


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245	1	0	\|a Approximation by generalized Baskakov–Durrmeyer–Stancu type operators
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520			\|a Abstract In this paper, we introduce Stancu type modification of generalized Baskakov–Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and then we study the local approximation, weighted approximation results for the new operators. The last section is devoted to A-statistical convergence behaviours of these operators by using the Korovkin type approximation of statistical convergence.
650		4	\|a Baskakov–Durrmeyer operators \|7 (dpeaa)DE-He213
650		4	\|a Rate of convergence \|7 (dpeaa)DE-He213
650		4	\|a Weighted approximation \|7 (dpeaa)DE-He213
650		4	\|a Modulus of continuity \|7 (dpeaa)DE-He213
650		4	\|a Statistical convergence \|7 (dpeaa)DE-He213
700	1		\|a Acar, Tuncer \|4 aut
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912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_65
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
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
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
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
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2070
912			\|a GBV_ILN_2086
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2116
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2119
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
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
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912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
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Indexfelder

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hierarchy_sort_str	2016
publishDate	2016
allfields	10.1007/s12215-016-0242-1 doi (DE-627)SPR025390724 (SPR)s12215-016-0242-1-e DE-627 ger DE-627 rakwb eng Kumar, A. Sathish verfasserin aut Approximation by generalized Baskakov–Durrmeyer–Stancu type operators 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Italia 2016 Abstract In this paper, we introduce Stancu type modification of generalized Baskakov–Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and then we study the local approximation, weighted approximation results for the new operators. The last section is devoted to A-statistical convergence behaviours of these operators by using the Korovkin type approximation of statistical convergence. Baskakov–Durrmeyer operators (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Modulus of continuity (dpeaa)DE-He213 Statistical convergence (dpeaa)DE-He213 Acar, Tuncer aut Enthalten in Rendiconti del Circolo Matematico di Palermo Milano : Springer Italia, 1884 65(2016), 3 vom: 21. März, Seite 411-424 (DE-627)560173067 (DE-600)2415092-7 0009-725X nnns volume:65 year:2016 number:3 day:21 month:03 pages:411-424 https://dx.doi.org/10.1007/s12215-016-0242-1 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_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_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 65 2016 3 21 03 411-424
spelling	10.1007/s12215-016-0242-1 doi (DE-627)SPR025390724 (SPR)s12215-016-0242-1-e DE-627 ger DE-627 rakwb eng Kumar, A. Sathish verfasserin aut Approximation by generalized Baskakov–Durrmeyer–Stancu type operators 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Italia 2016 Abstract In this paper, we introduce Stancu type modification of generalized Baskakov–Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and then we study the local approximation, weighted approximation results for the new operators. The last section is devoted to A-statistical convergence behaviours of these operators by using the Korovkin type approximation of statistical convergence. Baskakov–Durrmeyer operators (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Modulus of continuity (dpeaa)DE-He213 Statistical convergence (dpeaa)DE-He213 Acar, Tuncer aut Enthalten in Rendiconti del Circolo Matematico di Palermo Milano : Springer Italia, 1884 65(2016), 3 vom: 21. März, Seite 411-424 (DE-627)560173067 (DE-600)2415092-7 0009-725X nnns volume:65 year:2016 number:3 day:21 month:03 pages:411-424 https://dx.doi.org/10.1007/s12215-016-0242-1 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_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_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 65 2016 3 21 03 411-424
allfields_unstemmed	10.1007/s12215-016-0242-1 doi (DE-627)SPR025390724 (SPR)s12215-016-0242-1-e DE-627 ger DE-627 rakwb eng Kumar, A. Sathish verfasserin aut Approximation by generalized Baskakov–Durrmeyer–Stancu type operators 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Italia 2016 Abstract In this paper, we introduce Stancu type modification of generalized Baskakov–Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and then we study the local approximation, weighted approximation results for the new operators. The last section is devoted to A-statistical convergence behaviours of these operators by using the Korovkin type approximation of statistical convergence. Baskakov–Durrmeyer operators (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Modulus of continuity (dpeaa)DE-He213 Statistical convergence (dpeaa)DE-He213 Acar, Tuncer aut Enthalten in Rendiconti del Circolo Matematico di Palermo Milano : Springer Italia, 1884 65(2016), 3 vom: 21. März, Seite 411-424 (DE-627)560173067 (DE-600)2415092-7 0009-725X nnns volume:65 year:2016 number:3 day:21 month:03 pages:411-424 https://dx.doi.org/10.1007/s12215-016-0242-1 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_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_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 65 2016 3 21 03 411-424
allfieldsGer	10.1007/s12215-016-0242-1 doi (DE-627)SPR025390724 (SPR)s12215-016-0242-1-e DE-627 ger DE-627 rakwb eng Kumar, A. Sathish verfasserin aut Approximation by generalized Baskakov–Durrmeyer–Stancu type operators 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Italia 2016 Abstract In this paper, we introduce Stancu type modification of generalized Baskakov–Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and then we study the local approximation, weighted approximation results for the new operators. The last section is devoted to A-statistical convergence behaviours of these operators by using the Korovkin type approximation of statistical convergence. Baskakov–Durrmeyer operators (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Modulus of continuity (dpeaa)DE-He213 Statistical convergence (dpeaa)DE-He213 Acar, Tuncer aut Enthalten in Rendiconti del Circolo Matematico di Palermo Milano : Springer Italia, 1884 65(2016), 3 vom: 21. März, Seite 411-424 (DE-627)560173067 (DE-600)2415092-7 0009-725X nnns volume:65 year:2016 number:3 day:21 month:03 pages:411-424 https://dx.doi.org/10.1007/s12215-016-0242-1 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_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_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 65 2016 3 21 03 411-424
allfieldsSound	10.1007/s12215-016-0242-1 doi (DE-627)SPR025390724 (SPR)s12215-016-0242-1-e DE-627 ger DE-627 rakwb eng Kumar, A. Sathish verfasserin aut Approximation by generalized Baskakov–Durrmeyer–Stancu type operators 2016 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag Italia 2016 Abstract In this paper, we introduce Stancu type modification of generalized Baskakov–Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and then we study the local approximation, weighted approximation results for the new operators. The last section is devoted to A-statistical convergence behaviours of these operators by using the Korovkin type approximation of statistical convergence. Baskakov–Durrmeyer operators (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Modulus of continuity (dpeaa)DE-He213 Statistical convergence (dpeaa)DE-He213 Acar, Tuncer aut Enthalten in Rendiconti del Circolo Matematico di Palermo Milano : Springer Italia, 1884 65(2016), 3 vom: 21. März, Seite 411-424 (DE-627)560173067 (DE-600)2415092-7 0009-725X nnns volume:65 year:2016 number:3 day:21 month:03 pages:411-424 https://dx.doi.org/10.1007/s12215-016-0242-1 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_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_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 65 2016 3 21 03 411-424
language	English
source	Enthalten in Rendiconti del Circolo Matematico di Palermo 65(2016), 3 vom: 21. März, Seite 411-424 volume:65 year:2016 number:3 day:21 month:03 pages:411-424
sourceStr	Enthalten in Rendiconti del Circolo Matematico di Palermo 65(2016), 3 vom: 21. März, Seite 411-424 volume:65 year:2016 number:3 day:21 month:03 pages:411-424
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Baskakov–Durrmeyer operators Rate of convergence Weighted approximation Modulus of continuity Statistical convergence
isfreeaccess_bool	false
container_title	Rendiconti del Circolo Matematico di Palermo
authorswithroles_txt_mv	Kumar, A. Sathish @@aut@@ Acar, Tuncer @@aut@@
publishDateDaySort_date	2016-03-21T00:00:00Z
hierarchy_top_id	560173067
id	SPR025390724
language_de	englisch
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author	Kumar, A. Sathish
spellingShingle	Kumar, A. Sathish misc Baskakov–Durrmeyer operators misc Rate of convergence misc Weighted approximation misc Modulus of continuity misc Statistical convergence Approximation by generalized Baskakov–Durrmeyer–Stancu type operators
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topic_title	Approximation by generalized Baskakov–Durrmeyer–Stancu type operators Baskakov–Durrmeyer operators (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Weighted approximation (dpeaa)DE-He213 Modulus of continuity (dpeaa)DE-He213 Statistical convergence (dpeaa)DE-He213
topic	misc Baskakov–Durrmeyer operators misc Rate of convergence misc Weighted approximation misc Modulus of continuity misc Statistical convergence
topic_unstemmed	misc Baskakov–Durrmeyer operators misc Rate of convergence misc Weighted approximation misc Modulus of continuity misc Statistical convergence
topic_browse	misc Baskakov–Durrmeyer operators misc Rate of convergence misc Weighted approximation misc Modulus of continuity misc Statistical convergence
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title	Approximation by generalized Baskakov–Durrmeyer–Stancu type operators
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title_full	Approximation by generalized Baskakov–Durrmeyer–Stancu type operators
author_sort	Kumar, A. Sathish
journal	Rendiconti del Circolo Matematico di Palermo
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author_browse	Kumar, A. Sathish Acar, Tuncer
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format_se	Elektronische Aufsätze
author-letter	Kumar, A. Sathish
doi_str_mv	10.1007/s12215-016-0242-1
title_sort	approximation by generalized baskakov–durrmeyer–stancu type operators
title_auth	Approximation by generalized Baskakov–Durrmeyer–Stancu type operators
abstract	Abstract In this paper, we introduce Stancu type modification of generalized Baskakov–Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and then we study the local approximation, weighted approximation results for the new operators. The last section is devoted to A-statistical convergence behaviours of these operators by using the Korovkin type approximation of statistical convergence. © Springer-Verlag Italia 2016
abstractGer	Abstract In this paper, we introduce Stancu type modification of generalized Baskakov–Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and then we study the local approximation, weighted approximation results for the new operators. The last section is devoted to A-statistical convergence behaviours of these operators by using the Korovkin type approximation of statistical convergence. © Springer-Verlag Italia 2016
abstract_unstemmed	Abstract In this paper, we introduce Stancu type modification of generalized Baskakov–Durrmeyer operators and study their approximation properties. First, we derive the recurrence relation and central moments of these operators and then we study the local approximation, weighted approximation results for the new operators. The last section is devoted to A-statistical convergence behaviours of these operators by using the Korovkin type approximation of statistical convergence. © Springer-Verlag Italia 2016
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title_short	Approximation by generalized Baskakov–Durrmeyer–Stancu type operators
url	https://dx.doi.org/10.1007/s12215-016-0242-1
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author2	Acar, Tuncer
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doi_str	10.1007/s12215-016-0242-1
up_date	2024-07-03T15:43:10.930Z
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Sathish</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Approximation by generalized Baskakov–Durrmeyer–Stancu type operators</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2016</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="500" ind1=" " ind2=" "><subfield code="a">© Springer-Verlag Italia 2016</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract In this paper, we introduce Stancu type modification of generalized Baskakov–Durrmeyer operators and study their approximation properties. 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März, Seite 411-424</subfield><subfield code="w">(DE-627)560173067</subfield><subfield code="w">(DE-600)2415092-7</subfield><subfield code="x">0009-725X</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:65</subfield><subfield code="g">year:2016</subfield><subfield code="g">number:3</subfield><subfield code="g">day:21</subfield><subfield code="g">month:03</subfield><subfield code="g">pages:411-424</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://dx.doi.org/10.1007/s12215-016-0242-1</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_SPRINGER</subfield></datafield><datafield tag="912" 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Approximation by generalized Baskakov–Durrmeyer–Stancu type operators

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