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Szász–Gamma Operators Based on Dunkl Analogue

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Abstract

In this article, we introduce Szász–Gamma operators based on Dunkl analogue. We discuss basic approximation results in terms of the classical Korovkin theorem and modulus of continuity. For our operators, we investigate local approximation results by means of Peetre’s K-functional, second order modulus of smoothness, the Lipschitz class and the Lipschitz maximal function. Next, we present weighted approximation theorems by means of a Korovkin type theorem and weighted modulus of continuity. Lastly, A-Statistical approximation result and rate of convergence for functions with derivative of bounded variation are also studied.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi, 110025, India

    Abdul Wafi & Nadeem Rao

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  1. Abdul Wafi
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  2. Nadeem Rao
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Correspondence to Nadeem Rao.

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Wafi, A., Rao, N. Szász–Gamma Operators Based on Dunkl Analogue. Iran J Sci Technol Trans Sci 43, 213–223 (2019). https://doi.org/10.1007/s40995-017-0433-4

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  • DOI: https://doi.org/10.1007/s40995-017-0433-4

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