Journal of Advances in Mathematics and Computer Science

A Voronovskaya Type Theorem for Bernstein-Durrmeyer Type Operators

Magdalena Lampa-Baczynska *

Faculty of Mathematics, Physics and Technical Science, Pedagogical University of Cracow, Poland.

*Author to whom correspondence should be addressed.

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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.

Keywords: Bernstein-Durrmeyer operators, voronoskaya type theorem

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