Approximation by Szasz–Kantorovich type operators associated with d-symmetric d-orthogonal polynomials of Brenke type

Abstract

This article discusses some important approximation properties of generalized Szasz–Kantorovich operators with a new modification of d-symmetric d-orthogonal polynomials of Brenke type. The study of their convergence rate using the Peetre’s K-functional and the modulus of smoothness has been done. Furthermore, an estimation of the speed of convergences for some special classes of functions, namely, the Lipschitz-type class of functions has been provided. © The Author(s), under exclusive licence to The Forum D’Analystes 2023.