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Dunkl generalization of Kantorovich type Szasz-Mirakjan operators via q-calculus
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Dunkl generalization of Kantorovich type Szasz-Mirakjan operators via q-calculus

M. Mursaleen, Md Nasiruzzaman and Mohammad Nasiruzzaman
Asian-European journal of mathematics, Vol.10(4), p.1750077
01/12/2017

Abstract

Mathematics Physical Sciences Science & Technology
In this paper, we construct Kantorovich type Szasz-Mirakjan operators generated by Dunkl generalization of the exponential function via q-integers. We obtain some approximation results via well-known Korovkin's type theorem for these operators and study convergence properties by using the modulus of continuity. Furthermore, we obtain the rate of convergence in terms of the classical, second-order, and weighted modulus of continuity.

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