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Szasz-Kantorovich Type Operators Based on Charlier Polynomials

Arun Kajla|Purshottam Narain Agrawal
경북대학교 자연과학대학 수학과|2016.09|Kyungpook Mathematical Journal|제56권 제3호|pp. 877-897

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참고문헌

키워드

modulus of continuityCharlier polynomialsKantorovich operator$A$-statistical convergencebounded variation.
주제분류수학

초록

In the present article, we study some approximation properties of the Kantorovich type generalization of Sz\'{a}sz type operators involving Charlier polynomials introduced by S. Varma and F. Ta\c{s}delen (Math. Comput. Modelling, 56 (5-6) (2012) 108-112). First, we establish approximation in a Lipschitz type space, weighted approximation theorems and $A$-statistical convergence properties for these operators. Then, we obtain the rate of approximation of functions having derivatives of bounded variation.

Abstract

In the present article, we study some approximation properties of the Kantorovich type generalization of Sz\'{a}sz type operators involving Charlier polynomials introduced by S. Varma and F. Ta\c{s}delen (Math. Comput. Modelling, 56 (5-6) (2012) 108-112). First, we establish approximation in a Lipschitz type space, weighted approximation theorems and $A$-statistical convergence properties for these operators. Then, we obtain the rate of approximation of functions having derivatives of bounded variation.

참고문헌 (36)

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관련 논문AI추천

Statistical Approximation of Szasz Type Operators Based on Charlier PolynomialsArun Kajla경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제4호ON KANTOROVICH FORM OF GENERALIZED SZASZ-TYPE OPERATORS USING CHARLIER POLYNOMIALSAbdul Wafi, Deepmala, Nadeem Rao강원경기수학회 · 한국수학논문집2017 · 제25권 제1호Rate of convergence for generalized Szasz operators with derivatives of bounded variationTUNCER ACAR장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제1호ON A SEQUENCE OF KANTOROVICH TYPE OPERATORS VIA RIEMANN TYPE q-INTEGRALAysegul Erencin, Fatma Tasdelen, Gulen Bascanbaz-Tunca대한수학회 · 대한수학회보2014 · 제51권 제2호On statistical approximation properties of modified q-Bernstein-Schurer OperatorsMei-Ying Ren, Xiao-Ming Zeng대한수학회 · 대한수학회보2013 · 제50권 제4호On approximation properties of Stancu variant $\lambda$-Szász-Mirakjan-Durrmeyer operatorsLaxmi Rathour, Resat Aslan강원경기수학회 · 한국수학논문집2022 · 제30권 제3호

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