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 -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 ω_α correlated with the space Bα(R+) and Lipschitz type maximal functions. Both topics are covered in the article.

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