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 q-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.