English

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

General Mathematics 2023-05-18 v1

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 ωρα\omega_{\rho_{\alpha}} correlated with the space Bρα(R+)B_{\rho\alpha}(\mathbb{R_{+}}) and Lipschitz type maximal functions. Both topics are covered in the article.

Keywords

Cite

@article{arxiv.2305.09701,
  title  = {On q-statistical approximation of wavelets aided Kantorovich q-Baskakov operators},
  author = {Mohammad Ayman-Mursaleen and Bishnu P. Lamichhane and Adem Kiliçman and Norazak Senu},
  journal= {arXiv preprint arXiv:2305.09701},
  year   = {2023}
}

Comments

15 pages

R2 v1 2026-06-28T10:36:18.067Z