On q-statistical approximation of wavelets aided Kantorovich q-Baskakov operators

Abstract

The aim of this research is to examine various statistical approximation properties with respect to Kantorovich \textit{\text{\texthtq}}-Baskakov operators using wavelets. We discuss and investigate a weighted statistical approximation employing a Bohman-Korovkin type theorem as well as a statistical rate of convergence applying a weighted modulus of smoothness ${\omega }_{{\rho }_{\alpha }}$ correlated with the space $B_{\rho \alpha }({\mathbb{R}}_{+})$ and Lipschitz type maximal functions. Both topics are covered in the article.

15 pages