English

Approximation by a Kantorovich type q-Bernstein-Stancu operators

Classical Analysis and ODEs 2015-05-27 v1

Abstract

In this paper, we introduce a Kantorovich type generalization of q-Bernstein-Stancu operators. We study the convergence of the introduced operators and also obtain the rate of convergence by these operators in terms of the modulus of continuity. Further, we study local approximation property and Voronovskaja type theorem for the said operators. We show comparisons and some illustrative graphics for the convergence of operators to a certain function.

Keywords

Cite

@article{arxiv.1505.06998,
  title  = {Approximation by a Kantorovich type q-Bernstein-Stancu operators},
  author = {M. Mursaleen and Khursheed J. Ansari and Asif Khan},
  journal= {arXiv preprint arXiv:1505.06998},
  year   = {2015}
}

Comments

14 pages, submitted

R2 v1 2026-06-22T09:41:38.922Z