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

Mohammad Ayman-Mursaleen; Bishnu P. Lamichhane; Adem Kiliçman; Norazak Senu

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arXiv · 2305.09701

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

Mohammad Ayman-Mursaleen·Bishnu P. Lamichhane·Adem Kiliçman·Norazak Senu

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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.

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Mohammad Ayman-Mursaleen, Bishnu P. Lamichhane, Adem Kiliçman, Norazak Senu. 2023-05-16. On q-statistical approximation of wavelets aided Kantorovich q-Baskakov operators. https://arxiv.org/abs/2305.09701

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