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Rate of simultaneous approximation for Baskakov-Szasz operators
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In the present paper we consider an integral modification of the Baskakov operators,which have weight functions of Sz´asz basis functions. We study the rate of convergence for absolutely continuous functions having a derivative coinciding a.e. with a function of bounded variation. We also mention some of the improvements of the paper [1].
Abstract
In the present paper we consider an integral modification of the Baskakov operators,which have weight functions of Sz´asz basis functions. We study the rate of convergence for absolutely continuous functions having a derivative coinciding a.e. with a function of bounded variation. We also mention some of the improvements of the paper [1].
참고문헌 (9)
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- V. Gupta, "On simultaneous approximation by combinations of Baskakov Szasz type operators", Fasciculi Mathematici, 27, pp.29~41 (1999)
- N. Ispir, "On Kantorovich process of a sequence of the generalized linear positive operators", Numer Funct. Anal. Optimiz, 29(5), pp.547~589 (2008)
- N. Ispir, "On the B´ezier variant of Srivastava Gupta operators", Applied Math E Notes, 5, pp.129~137 (2005)
- A. Sahai, "On simultaneous approximation by modified Lupas operators", J Approx. Theory, 45, pp.122~128 (1985)
- R. P. Sinha, "On simultaneous approximation by modified Baskakov operators", Bull. Soc. Math. Belg. Ser. B, 43(2), pp.217~231 (1991)
- H. M. Srivastava, "A certain family of summation integral type operators", Math. Comput. Modelling, 37, pp.1307~1315 (2003)
관련 논문AI추천
Rate of convergence for generalized Szasz operators with derivatives of bounded variationTUNCER ACAR장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제1호On the Micchelli combinations of modified beta operatorsDiwaker Sharma, Om Prakash, Prerna Maheshwari장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제4호Bézier variant of mixed summation-integral type operatorsDewangan, Jyoti Sinha장전수학회 · Advanced Studies in Contemporary Mathematics2010 · 제20권 제2호On the Rate of Convergence of Modified Baskakov Type Operators on Functions of Bounded VariationNaokant Deo경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Quantitative estimates for generalized two dimensional Baskakov operatorsNaokant Deo, Neha Bhardwaj강원경기수학회 · 한국수학논문집2016 · 제24권 제3호A Voronovskaya Type Theorem on Modi ed Post-Widder Operators Preserving x²Mohammad Arif Siddiqui, Raksha Rani Agrawal경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제1호
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