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A note on almost convex operators and saturation. - MaRDI portal

A note on almost convex operators and saturation. (Q1764586)

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scientific article; zbMATH DE number 2138646
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A note on almost convex operators and saturation.
scientific article; zbMATH DE number 2138646

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    A note on almost convex operators and saturation. (English)
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    25 February 2005
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    The present paper deals with the saturation of shape preserving linear operators. The authors studied a sequence of almost convex operators of \((k-1)\)th order satisfying an asymptotic formula and obtained a trivial class in the saturation problem of \(k\)th derivative of such operators. In the end an application to the modified Meyer-König and Zeller operators is also shown.
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    almost convex operators
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    asymptotic formula
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    saturation result
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    Bernstein polynomials
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    Meyer-König and Zeller operators
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