On a Chlodovsky variant of α Bernstein operator

Authors

  • Mihaela Smuc Transilvania University of Brasov, Romania

Keywords:

Bernstein operator, α Bernstein operators, Chlodovsky operators, modulus of continuity

Abstract

In this paper, we introduce the Chlodovsky variant of α Bernstein operators which are generalizations of α Bernstein operators. We investigate some elementary properties of this operator and then we study its approximation properties, including a Voronovskaja type asymptotic estimate formula for the operators.

Author Biography

Mihaela Smuc, Transilvania University of Brasov, Romania

Faculty of Mathematics and Informatics

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Published

2017-10-10

Issue

Vol. 10(59) No. 1 (2017)

Section

MATHEMATICS