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On modified Dunkl generalization of Szasz operators via q-calculus
Journal article   Open access  Peer reviewed

On modified Dunkl generalization of Szasz operators via q-calculus

M. Mursaleen, Md Nasiruzzaman, Abdullah Alotaibi and Mohammad Nasiruzzaman
Journal of inequalities and applications, Vol.2017(1), pp.38-38
07/02/2017
PMCID: PMC5306192
PMID: 28239243

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The purpose of this paper is to introduce a modification of q-Dunkl generalization of exponential functions. These types of operators enable better error estimation on the interval [1/2,infinity) than the classical ones. We obtain some approximation results via a well-known Korovkin-type theorem and a weighted Korovkin-type theorem. Further, we obtain the rate of convergence of the operators for functions belonging to the Lipschitz class.
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https://doi.org/10.1186/s13660-017-1311-5View
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