On Jackson's theorem for the modulus of smoothness determined by a nonsymmetric generalised shift operator
Functional Analysis
2012-09-07 v1
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 eto\v{i} rabote rassmatrivaetsya klass sesimmetrichnykh operatorov obobshchenogo sdviga, dlya kazhdogo iz nikh vvoditsya obobshchennye moduli gladkosti i dlya nikh dokazybaetsya teorma Dzheksona i teorema, obratnaya e\v{i}.
Keywords
Cite
@article{arxiv.1209.1273,
title = {On Jackson's theorem for the modulus of smoothness determined by a nonsymmetric generalised shift operator},
author = {Mikhail K. Potapov and Faton M. Berisha},
journal= {arXiv preprint arXiv:1209.1273},
year = {2012}
}
Comments
14 pages, in Russian