A theorem on approximation by algebraic polynomials of functions with given generalised modulus of smoothness
Functional Analysis
2012-08-31 v1
Abstract
We introduce an asymmetric operator of generalised translation, define the generalised modulus of smoothness by its means, and obtain the direct and inverse theorems in approximation theory for it.
Keywords
Cite
@article{arxiv.1208.6040,
title = {A theorem on approximation by algebraic polynomials of functions with given generalised modulus of smoothness},
author = {Mikhail K. Potapov and Faton M. Berisha},
journal= {arXiv preprint arXiv:1208.6040},
year = {2012}
}
Comments
2 pages, International Conference "Functional spaces; Differential operators; Problems of mathematical education," Moscow, 1998