English

Perturbed Bernstein-type operators

Numerical Analysis 2018-10-23 v2

Abstract

The present paper deals with modifications of Bernstein, Kantorovich, Durrmeyer and genuine Bernstein-Durrmeyer operators. Some previous results are improved in this study. Direct estimates for these operators by means of the first and second modulus of continuity are given. Also the asymptotic formulas for the new operators are proved.

Keywords

Cite

@article{arxiv.1809.07511,
  title  = {Perturbed Bernstein-type operators},
  author = {Ana Maria Acu and Heiner Gonska},
  journal= {arXiv preprint arXiv:1809.07511},
  year   = {2018}
}
R2 v1 2026-06-23T04:12:25.396Z