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arXiv · 1603.05716

Approximation properties on q -Szasz-Mirakjan-Kantrovich Stancu type operators via Dunkl generalization

M. Mursaleen·Md. Nasiruzzaman
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Abstract

This paper is devoted to study the approximation properties and rate of approximation of the Szasz-Mirakjan-Kantrovich-Stancu type polynomials generated by the Dunkl generalization of the exponential function with respect to q -calculus. We present approximation properties with the help of well-known Korovkin's theorem and determine the rat e of convergence in terms of classical modulus of continuity, the class of Lipschitz functions, Peetre's K-functional, and the second-order modulus of continuity. Moreover, we obtain the approximation results for Bivariate case for these operators

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M. Mursaleen, Md. Nasiruzzaman. 2016-03-14. Approximation properties on q -Szasz-Mirakjan-Kantrovich Stancu type operators via Dunkl generalization. https://arxiv.org/abs/1603.05716

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