The Product of Two Functions Using Positive Linear Operators

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Constructive Mathematical Analysis
Volume:3 Issue:2
The Product of Two Functions Using Positive Linear Operators

The Product of Two Functions Using Positive Linear Operators

Pages : 64-74

View : 15 | Download : 11

Publication Date : 2020-06-01

Article Type : Research Paper

Abstract :In this paper we estimate the speed of convergence of the difference $L_ninsert ignore into journalissuearticles values(fg);-insert ignore into journalissuearticles values(L_n f);\cdot insert ignore into journalissuearticles values(L_n g);$ towards 0, where $insert ignore into journalissuearticles values(L_n);$ are positive linear operators used in the approximation of continuous functions. We also study in what conditions the formula ${L`_n}insert ignore into journalissuearticles values(fg);-f {L`_n}g-g {L`_n}f \to 0$ holds true.
Keywords : positive linear operators, Voronovskaya formula

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