On the q-parametric Stancu type Dunkl generalization of the Kantorovich-Szasz-Mirakjan operators

Authors

  • Mohammad Mursaleen Aligarh Mursaleen University
  • Taqseer Khan Aligarh Muslim University
  • Md Nasiruzzaman Aligarh Muslim University

DOI:

https://doi.org/10.30495/jme.v12i1.682

Keywords:

q-integers, Dunkl analogue, generalization of exponential function, Szasz operator, modulus of continuity, weighted modulus of continuity.

Abstract

In this paper we construct the Stancu type q-Kantrovich-Szasz-Mirakjan operators generated by Dunkl generalization of the exponential function. We obtain some approximation results using the Korovkin approximation theorem for these operators. We also study convergence properties by using the modulus of continuity and the rate of convergence for functions belonging to the Lipschitz class. Furthermore, we obtain the rate of convergence in terms of the classical, the second order, and the weighted modulus of continuity.

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Published

2018-06-29

Issue

Vol. 12

Section

Vol. 12, No. 3, (2018)

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