A Voronovskaya Type Theorem for Bernstein-Durrmeyer Type Operators

Magdalena Lampa-Baczynska

doi:10.9734/BJMCS/2015/18471

Research Article Open access CC BY 4.0

A Voronovskaya Type Theorem for Bernstein-Durrmeyer Type Operators

Magdalena Lampa-Baczynska

Journal of Advances in Mathematics and Computer Science · pp. 1–6 · Published 7 Jul 2015

10.9734/BJMCS/2015/18471

Abstract

Bernstein operators constitute a powerful tool allowing one to replace many inconvenient calculations performed for continuous functions by more friendly calculations on approximating polynomials. In this note we study a modi cation of Bernstein type operators and prove in particular that they satisfy Voronovskaya type theorems.

Bernstein-Durrmeyer operators voronoskaya type theorem

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Magdalena Lampa-Baczynska (2015). A Voronovskaya Type Theorem for Bernstein-Durrmeyer Type Operators. Journal of Advances in Mathematics and Computer Science , 1–6. https://doi.org/10.9734/BJMCS/2015/18471

Affiliations

Magdalena Lampa-Baczynska — Faculty of Mathematics, Physics and Technical Science, Pedagogical University of Cracow, Poland.

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