A remark on approximation by monotone sequences of polynomials (Q1804727)
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scientific article; zbMATH DE number 755475
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A remark on approximation by monotone sequences of polynomials |
scientific article; zbMATH DE number 755475 |
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A remark on approximation by monotone sequences of polynomials (English)
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8 October 1995
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Here the authors give a theorem to answer a question recently raised by \textit{S. G. Gal} and \textit{J. Szabados} [Acta Math. Hung. 59, No. 3-4, 395--399 (1992; Zbl 0766.41005)] regarding the approximation of an \(f \in C[0,1]\) by a pair of monotone sequences of polynomials: from below by one and from above by the other, which do achieve the best uniform approximation rate.
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approximation by monotone sequences of polynomials
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best uniform
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approximation
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shape-preserving approximations
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