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

Mohammad Ayman-Mursaleen, Bishnu P. Lamichhane, Adem Kilicman, Norazak Senu


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 spaceĀ  $B_{\rho\alpha}(\mathbb{R_{+}})$ and Lipschitz type maximal functions. Both topics are covered in the article.


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