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Weighted approximation of functions by Favard operators of max-product type

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In this paper we introduce the Favard operators of max-product type to study the uniform approximation of functions with exponential growth. We introduce a new suitable modulus of continuity and… Click to show full abstract

In this paper we introduce the Favard operators of max-product type to study the uniform approximation of functions with exponential growth. We introduce a new suitable modulus of continuity and we estimate the rate of approximation in terms of this modulus. We obtain a better rate of approximation than the corresponding positive linear operators.

Keywords: approximation; operators max; favard operators; max product; approximation functions; product type

Journal Title: Periodica Mathematica Hungarica
Year Published: 2018

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