English

On King type modification of $(p,q)$-Lupa\c{s} Bernstein operators

Classical Analysis and ODEs 2018-03-09 v1

Abstract

In this paper, a King-type modification of (p,q)(p,q)-Lupa\c{s} Bernstein operators are introduced. The rate of convergence of these operators are studied by means of modulus of continuity and Lipschitz class functional. Further, it has been shown that the error estimation of these operators on some subintervals of [0,1][0,1] are better than the (p,q)(p,q)-Lupa\c{s} Bernstein operators.

Keywords

Cite

@article{arxiv.1803.03109,
  title  = {On King type modification of $(p,q)$-Lupa\c{s} Bernstein operators},
  author = {Asif Khan and Vinita Sharma and Faisal Khan},
  journal= {arXiv preprint arXiv:1803.03109},
  year   = {2018}
}

Comments

8 pages