Statistical approximation using wavelets Kantorovich (p,q)-Baskakov operators

Abstract

Abstract The aim of this article is to construct a ( p , q ) {(p,q)} -analogue of wavelets Kantorovich–Baskakov operators and investigate some statistical approximation properties. We study weighted statistical approximation by means of a Bohman–Korovkin-type theorem, and statistical rate of convergence by means of the weighted modulus of smoothness ω ρ α {\omega_{\rho_{\alpha}}} associated to the space B ρ ⁢ α ⁢ ( ℝ + ) {B_{\rho\alpha}(\mathbb{R_{+}})} and Lipschitz-type maximal functions.