A special modulus of continuity and the K-functional

Published 23 Aug 2013 in math.CA | (1308.5081v1)

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

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