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arXiv · 1308.5081

A special modulus of continuity and the K-functional

Nadezhda Dolmatova
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Abstract

We consider the questions connected with the approximation of a real continuous 1-periodic functions and give a new proof of the equivalence of the special Boman-Shapiro modulus of continuity with Peetre's K-functional. We also prove Jackson's inequality for the approximation by trigonometric polynomials.

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Nadezhda Dolmatova. 2013-08-23. A special modulus of continuity and the K-functional. https://arxiv.org/abs/1308.5081

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