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A Dunkl–Type Generalization of Szász–Kantorovich Operators via Post–Quantum Calculus
Journal article   Open access  Peer reviewed

A Dunkl–Type Generalization of Szász–Kantorovich Operators via Post–Quantum Calculus

Md Nasiruzzaman, Aiman Mukheimer and M Mursaleen
Symmetry (Basel), Vol.11(2), p.232
01/02/2019

Abstract

Approximation Exponential functions Numbers Operators (mathematics)
In this paper, we define the (p,q)-variant of Szász–Kantorovich operators via Dunkl-type generalization generated by an exponential function and study the Korovkin-type results. We also obtain the convergence of our operators in weighted space by the modulus of continuity, Lipschitz class, and Peetre’s K-functionals. The extra parameter p provides more flexibility in approximation and plays an important role in symmetrizing these newly-defined operators.
url
https://doi.org/10.3390/sym11020232View
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