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arXiv · 1209.1273

On Jackson's theorem for the modulus of smoothness determined by a nonsymmetric generalised shift operator

Mikhail K. Potapov·Faton M. Berisha
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Abstract

In this paper a class of asymmetrical operators of generalised translation is introduced, for each of them generalised moduli of smoothness are introduced, and Jackson's and its converse theorems are proved for those moduli. ----- V etoǐ rabote rassmatrivaetsya klass sesimmetrichnykh operatorov obobshchenogo sdviga, dlya kazhdogo iz nikh vvoditsya obobshchennye moduli gladkosti i dlya nikh dokazybaetsya teorma Dzheksona i teorema, obratnaya eǐ.

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Mikhail K. Potapov, Faton M. Berisha. 2012-09-06. On Jackson's theorem for the modulus of smoothness determined by a nonsymmetric generalised shift operator. https://arxiv.org/abs/1209.1273

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