A SPECIAL MODULUS OF CONTINUITY AND THE K-FUNCTIONAL

A SPECIAL MODULUS OF CONTINUITY AND THE K-FUNCTIONAL

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 trigonomet...

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Veröffentlicht in:Acta mathematica scientia 2016-09, Vol.36 (5), p.1531-1540
1. Verfasser: DOLMATOVA, Nadezhda
Format: Artikel
Sprache:eng
Schlagworte:
41A17
41A50
42A10
Jackson's theorem
K-functional
modulus of continuity
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Beschreibung
Zusammenfassung: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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(16)30088-1