A Dunkl–Type Generalization of Szász–Kantorovich Operators via Post–Quantum Calculus
Copyright policy )A Dunkl–Type Generalization of Szász–Kantorovich Operators via Post–Quantum Calculus
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.
- Aligarh Muslim University India
- Prince Sultan University Saudi Arabia
Dunkl analogue, generating functions, modulus of continuity, Approximation by operators (in particular, by integral operators), Rate of convergence, degree of approximation, generalization of exponential function, \((p, q)\)-integers, (<i>p</i>, <i>q</i>)-integers, Szász operator
Dunkl analogue, generating functions, modulus of continuity, Approximation by operators (in particular, by integral operators), Rate of convergence, degree of approximation, generalization of exponential function, \((p, q)\)-integers, (<i>p</i>, <i>q</i>)-integers, Szász operator
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