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Stancu type generalization of modified Gamma operators based on q-integers

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In this paper, we propose the Stancu type generalization of a kind of modified $q$-Gamma operators. We estimate the moments of these operators and give the basic convergence theorem. We also obtain the Voronovskaja type theorem. Furthermore, we obtain the local approximation, rate of convergence and weighted approximation for these operators.

Abstract

In this paper, we propose the Stancu type generalization of a kind of modified $q$-Gamma operators. We estimate the moments of these operators and give the basic convergence theorem. We also obtain the Voronovskaja type theorem. Furthermore, we obtain the local approximation, rate of convergence and weighted approximation for these operators.

참고문헌 (22)

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  22. X. M. Zeng, "Approximation properties of Gamma opeartos", J. Math. Anal. Appl, 311(2), pp.389~401 (2005)

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