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

2023/05/16 by Ayman-Mursaleen, Mohammad, Lamichhane, Bishnu P., Kiliçman, Adem +1
#41A36 #FOS: Mathematics #General Mathematics (math.GM) #Primary 41A25 #Secondary 33C45

paper · doi:10.48550/arxiv.2305.09701

Abstract

The aim of this research is to examine various statistical approximation properties with respect to Kantorovich \textit\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 ωρα correlated with the space Bρα(\mathbbR+) and Lipschitz type maximal functions. Both topics are covered in the article.

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