English

On statistical approximation properties of $q$-Baskakov-Szasz-Stancu operators

Classical Analysis and ODEs 2018-10-19 v1

Abstract

In the present paper, we consider Stancu type generalization of Baskakov-Sz\'{a}sz operators based on the q-integers and obtain statistical and weighted statistical approximation properties of these operators. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function are also established for operators.

Keywords

Cite

@article{arxiv.1508.05863,
  title  = {On statistical approximation properties of $q$-Baskakov-Szasz-Stancu operators},
  author = {Vishnu Narayan Mishra and Preeti Sharma Joshi and Lakshmi Narayan Mishra},
  journal= {arXiv preprint arXiv:1508.05863},
  year   = {2018}
}

Comments

12. arXiv admin note: text overlap with arXiv:1508.05292