Original scientific paper

Voronovskaja type theorem for the Lupaş q-analogue of the Bernstein operators

Nazim Idrisoglu Mahmudov ; Eastern Mediterranean University, Gazimagusa, TRNC, Turkey
Pembe Sabancigil ; Eastern Mediterranean University, Gazimagusa, TRNC, Turkey

Abstract

In this paper, we estimate the third and the fourth order central moments for the difference of the Lupaş q-analogue of the Bernstein operator and the limit q-Lupaş operator. We also prove a quantitative variant of Voronovskaja's theorem for $R_{n,q}$.

Keywords

q-Bernstein polynomials; Lupaş q-analogue; limit q-Lupaş operator; Voronovskaja-type formulas

Hrčak ID:

82986

URI

https://hrcak.srce.hr/82986

Publication date:

12.6.2012.

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