Approximating Properties of Generalized Dunkl Analogue of Szasz Operators

Authors

M. Mursaleen, Department of Mathematics, Aligarh Muslim University, Aligarh–202002, IndiaFollow
Taqseer Khan, Department of Mathematics, Aligarh Muslim University, Aligarh–202002, IndiaFollow
Md Nasiruzzaman, Department of Mathematics, Aligarh Muslim University, Aligarh–202002, IndiaFollow

Author Country (or Countries)

India

Abstract

In this paper we present a generalization of Sz´asz operators using the Dunkl generalization of the exponential function. We investigate approximating properties for these operators using the Korovkin approximation theorem and the weighted Korovkin-type theorem.We obtain quantitative estimates 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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100633

Recommended Citation

Mursaleen, M.; Khan, Taqseer; and Nasiruzzaman, Md (2016) "Approximating Properties of Generalized Dunkl Analogue of Szasz Operators," Applied Mathematics & Information Sciences: Vol. 10: Iss. 6, Article 33.
DOI: http://dx.doi.org/10.18576/amis/100633
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss6/33