Approximation properties of q-Baskakov-Durrmeyer-Stancu operators

Purpose The purpose of this paper is to introduce and study the Baskakov- Durrmeyer- Stancu operators based on q-integers. Methods First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point...
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Autor*in:	Mishra, Vishnu Narayan [verfasserIn] Patel, Prashantkumar [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	Baskakov-Durrmeyer-Stancu operators Point-wise convergent -calculus Asymptotic formula Rate of convergence

Übergeordnetes Werk:	Enthalten in: Mathematical sciences - Tehran : Springer, 2007, 7(2013), 1 vom: 12. Aug.
Übergeordnetes Werk:	volume:7 ; year:2013 ; number:1 ; day:12 ; month:08

Links:	Volltext

DOI / URN:	10.1186/2251-7456-7-38

Katalog-ID:	SPR032840675

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allfields	10.1186/2251-7456-7-38 doi (DE-627)SPR032840675 (SPR)2251-7456-7-38-e DE-627 ger DE-627 rakwb eng 510 ASE Mishra, Vishnu Narayan verfasserin aut Approximation properties of q-Baskakov-Durrmeyer-Stancu operators 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Purpose The purpose of this paper is to introduce and study the Baskakov- Durrmeyer- Stancu operators based on q-integers. Methods First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators. Results We studied better error estimations for these operators using King type approach. Conclusions The results proposed here are new and have a better rate of convergence. MSC 2000 Primary 41A 25,41A 35. Baskakov-Durrmeyer-Stancu operators (dpeaa)DE-He213 Point-wise convergent (dpeaa)DE-He213 -calculus (dpeaa)DE-He213 Asymptotic formula (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Patel, Prashantkumar verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 7(2013), 1 vom: 12. Aug. (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:7 year:2013 number:1 day:12 month:08 https://dx.doi.org/10.1186/2251-7456-7-38 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2013 1 12 08
spelling	10.1186/2251-7456-7-38 doi (DE-627)SPR032840675 (SPR)2251-7456-7-38-e DE-627 ger DE-627 rakwb eng 510 ASE Mishra, Vishnu Narayan verfasserin aut Approximation properties of q-Baskakov-Durrmeyer-Stancu operators 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Purpose The purpose of this paper is to introduce and study the Baskakov- Durrmeyer- Stancu operators based on q-integers. Methods First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators. Results We studied better error estimations for these operators using King type approach. Conclusions The results proposed here are new and have a better rate of convergence. MSC 2000 Primary 41A 25,41A 35. Baskakov-Durrmeyer-Stancu operators (dpeaa)DE-He213 Point-wise convergent (dpeaa)DE-He213 -calculus (dpeaa)DE-He213 Asymptotic formula (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Patel, Prashantkumar verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 7(2013), 1 vom: 12. Aug. (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:7 year:2013 number:1 day:12 month:08 https://dx.doi.org/10.1186/2251-7456-7-38 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2013 1 12 08
allfields_unstemmed	10.1186/2251-7456-7-38 doi (DE-627)SPR032840675 (SPR)2251-7456-7-38-e DE-627 ger DE-627 rakwb eng 510 ASE Mishra, Vishnu Narayan verfasserin aut Approximation properties of q-Baskakov-Durrmeyer-Stancu operators 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Purpose The purpose of this paper is to introduce and study the Baskakov- Durrmeyer- Stancu operators based on q-integers. Methods First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators. Results We studied better error estimations for these operators using King type approach. Conclusions The results proposed here are new and have a better rate of convergence. MSC 2000 Primary 41A 25,41A 35. Baskakov-Durrmeyer-Stancu operators (dpeaa)DE-He213 Point-wise convergent (dpeaa)DE-He213 -calculus (dpeaa)DE-He213 Asymptotic formula (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Patel, Prashantkumar verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 7(2013), 1 vom: 12. Aug. (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:7 year:2013 number:1 day:12 month:08 https://dx.doi.org/10.1186/2251-7456-7-38 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2013 1 12 08
allfieldsGer	10.1186/2251-7456-7-38 doi (DE-627)SPR032840675 (SPR)2251-7456-7-38-e DE-627 ger DE-627 rakwb eng 510 ASE Mishra, Vishnu Narayan verfasserin aut Approximation properties of q-Baskakov-Durrmeyer-Stancu operators 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Purpose The purpose of this paper is to introduce and study the Baskakov- Durrmeyer- Stancu operators based on q-integers. Methods First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators. Results We studied better error estimations for these operators using King type approach. Conclusions The results proposed here are new and have a better rate of convergence. MSC 2000 Primary 41A 25,41A 35. Baskakov-Durrmeyer-Stancu operators (dpeaa)DE-He213 Point-wise convergent (dpeaa)DE-He213 -calculus (dpeaa)DE-He213 Asymptotic formula (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Patel, Prashantkumar verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 7(2013), 1 vom: 12. Aug. (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:7 year:2013 number:1 day:12 month:08 https://dx.doi.org/10.1186/2251-7456-7-38 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2013 1 12 08
allfieldsSound	10.1186/2251-7456-7-38 doi (DE-627)SPR032840675 (SPR)2251-7456-7-38-e DE-627 ger DE-627 rakwb eng 510 ASE Mishra, Vishnu Narayan verfasserin aut Approximation properties of q-Baskakov-Durrmeyer-Stancu operators 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Purpose The purpose of this paper is to introduce and study the Baskakov- Durrmeyer- Stancu operators based on q-integers. Methods First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators. Results We studied better error estimations for these operators using King type approach. Conclusions The results proposed here are new and have a better rate of convergence. MSC 2000 Primary 41A 25,41A 35. Baskakov-Durrmeyer-Stancu operators (dpeaa)DE-He213 Point-wise convergent (dpeaa)DE-He213 -calculus (dpeaa)DE-He213 Asymptotic formula (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213 Patel, Prashantkumar verfasserin aut Enthalten in Mathematical sciences Tehran : Springer, 2007 7(2013), 1 vom: 12. Aug. (DE-627)665433077 (DE-600)2620704-7 2251-7456 nnns volume:7 year:2013 number:1 day:12 month:08 https://dx.doi.org/10.1186/2251-7456-7-38 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 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_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 7 2013 1 12 08
language	English
source	Enthalten in Mathematical sciences 7(2013), 1 vom: 12. Aug. volume:7 year:2013 number:1 day:12 month:08
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institution	findex.gbv.de
topic_facet	Baskakov-Durrmeyer-Stancu operators Point-wise convergent -calculus Asymptotic formula Rate of convergence
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container_title	Mathematical sciences
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author	Mishra, Vishnu Narayan
spellingShingle	Mishra, Vishnu Narayan ddc 510 misc Baskakov-Durrmeyer-Stancu operators misc Point-wise convergent misc -calculus misc Asymptotic formula misc Rate of convergence Approximation properties of q-Baskakov-Durrmeyer-Stancu operators
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topic_title	510 ASE Approximation properties of q-Baskakov-Durrmeyer-Stancu operators Baskakov-Durrmeyer-Stancu operators (dpeaa)DE-He213 Point-wise convergent (dpeaa)DE-He213 -calculus (dpeaa)DE-He213 Asymptotic formula (dpeaa)DE-He213 Rate of convergence (dpeaa)DE-He213
topic	ddc 510 misc Baskakov-Durrmeyer-Stancu operators misc Point-wise convergent misc -calculus misc Asymptotic formula misc Rate of convergence
topic_unstemmed	ddc 510 misc Baskakov-Durrmeyer-Stancu operators misc Point-wise convergent misc -calculus misc Asymptotic formula misc Rate of convergence
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title	Approximation properties of q-Baskakov-Durrmeyer-Stancu operators
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title_full	Approximation properties of q-Baskakov-Durrmeyer-Stancu operators
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title_sort	approximation properties of q-baskakov-durrmeyer-stancu operators
title_auth	Approximation properties of q-Baskakov-Durrmeyer-Stancu operators
abstract	Purpose The purpose of this paper is to introduce and study the Baskakov- Durrmeyer- Stancu operators based on q-integers. Methods First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators. Results We studied better error estimations for these operators using King type approach. Conclusions The results proposed here are new and have a better rate of convergence. MSC 2000 Primary 41A 25,41A 35.
abstractGer	Purpose The purpose of this paper is to introduce and study the Baskakov- Durrmeyer- Stancu operators based on q-integers. Methods First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators. Results We studied better error estimations for these operators using King type approach. Conclusions The results proposed here are new and have a better rate of convergence. MSC 2000 Primary 41A 25,41A 35.
abstract_unstemmed	Purpose The purpose of this paper is to introduce and study the Baskakov- Durrmeyer- Stancu operators based on q-integers. Methods First we use property of q-calculus to estimate moments of these operators. Also study some approximation properties, asymptotic formula including q-derivative and point-wise estimation for the operators. Results We studied better error estimations for these operators using King type approach. Conclusions The results proposed here are new and have a better rate of convergence. MSC 2000 Primary 41A 25,41A 35.
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title_short	Approximation properties of q-Baskakov-Durrmeyer-Stancu operators
url	https://dx.doi.org/10.1186/2251-7456-7-38
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up_date	2024-07-03T15:03:17.658Z
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