A Dunkl-type generalization of Szász-Kantorovich operators via post-quantum calculus

Abstract

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.