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A theorem on approximation by algebraic polynomials of functions with given generalised modulus of smoothness

By Mikhail K. Potapov and Faton M. Berisha

Abstract

We introduce an asymmetric operator of generalised translation, define the generalised modulus of smoothness by its means, and obtain the direct and inverse theorems in approximation theory for it.Comment: 2 pages, International Conference "Functional spaces; Differential operators; Problems of mathematical education," Moscow, 199

Topics: Mathematics - Functional Analysis, Primary 41A35, Secondary 41A50, 42A16
Year: 2012
OAI identifier: oai:arXiv.org:1208.6040

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