The Product of Two Functions Using Positive Linear Operators

Year 2020, Volume: 3 Issue: 2, 64 - 74, 01.06.2020

Adrian Holhoş

https://doi.org/10.33205/cma.688661

Cited By: 2

Abstract

In this paper we estimate the speed of convergence of the difference $L_n(fg)-(L_n f)\cdot (L_n g)$ towards 0, where $(L_n)$ are positive linear operators used in the approximation of continuous functions. We also study in what conditions the formula ${L'_n}(fg)-f {L'_n}g-g {L'_n}f \to 0$ holds true.

Keywords

positive linear operators, Voronovskaya formula

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