On a connection between a generalised modulus of smoothness of order~\(r\) and the best approximation by algebraic polynomials

In this paper an asymmetrical operator of generalised translation is introduced, the generalised modulus of smoothness is defined by its means and the direct and inverse theorems in approximation theory are proved for that modulus. --- V dannoǐ rabote vvoditsya nesimmetrichnyǐ operator obobshchennog...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2012-08
Main Authors: Potapov, Mikhail K, Berisha, Faton M
Format: Article
Language:English
Subjects:
Approximation
Mathematical analysis
Polynomials
Smoothness
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper an asymmetrical operator of generalised translation is introduced, the generalised modulus of smoothness is defined by its means and the direct and inverse theorems in approximation theory are proved for that modulus. --- V dannoǐ rabote vvoditsya nesimmetrichnyǐ operator obobshchennogo sdviga, s ego pomoshchyu opredelyaetsya obobshchennyǐ modul' gladkosti i dlya nego dokazyvaetsya pryamaya i obratnaya teoremy teorii priblizheniǐ.
ISSN:2331-8422