On a new family of generalized Bernstein operators

Authors

  • Maria Talpau Dimitriu Universitatea Transilvania din Braşov

DOI:

https://doi.org/10.24193/subbmath.2022.3.12

Keywords:

Bernstein-type operators, global smoothness preservation, second order modulus of continuity

Abstract

In this paper we remark that $\alpha$-Bernstein operators, introduced by X. Y. Chen et al., are combinations of two known operators (Stancu and Bernstein operators) and we establish the preservation of global smoothness properties by these linear operators, the global smoothness being expressed by a Lipschitz condition with a certain second order modulus of continuity.

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Published

2022-09-22

Issue

Section

Articles