Approximating classes of functions defined by a generalised modulus of smoothness
Functional Analysis
2014-01-28 v1
Abstract
In the present paper, we use a generalised shift operator in order to define a generalised modulus of smoothness. By its means, we define generalised Lipschitz classes of functions, and we give their constructive characteristics. Specifically, we prove certain direct and inverse types theorems in approximation theory for best approximation by algebraic polynomials.
Cite
@article{arxiv.1401.6593,
title = {Approximating classes of functions defined by a generalised modulus of smoothness},
author = {Faton M. Berisha and Nimete Sh. Berisha},
journal= {arXiv preprint arXiv:1401.6593},
year = {2014}
}
Comments
6 pages, Communicated in the 1st International Eurasian Conference on Mathematics Sciences and Applications (IECMSA), Prishtin\"e, Kosovo, 2012