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

Mursaleen, M and Nasiruzzaman, M. (2017) Dunkl generalization of Kantorovich type Szász-Mirakjan operators via q-calculus. Asian-European Journal of Mathematics, 10 (4). ISSN 17935571

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Official URL: http://www.worldscientific.com/doi/abs/10.1142/S17...

Abstract

In this paper, we construct Kantorovich type Szász-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.

Item Type: Article
Uncontrolled Keywords: Dunkl analogue; generalization of exponential function; modulus of continuity; q-integers; Szász operator; weighted modulus of continuity
Subjects: Q Science > QA Mathematics
Divisions: Faculties > Faculty of Science > Department of Mathematics
Depositing User: AMU Library
Date Deposited: 30 Jan 2018 05:58
Last Modified: 31 Jan 2018 07:50
URI: http://ir.amu.ac.in/id/eprint/11032

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