A theorem on approximation by algebraic polynomials of functions with given generalised modulus of smoothness

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.

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Bibliographic Details
Published in:arXiv.org 2012-08
Main Authors: Potapov, Mikhail K, Berisha, Faton M
Format: Article
Language:English
Subjects:
Approximation
Functions (mathematics)
Mathematical analysis
Polynomials
Smoothness
Theorems
Online Access:Get full text
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Description
Summary: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.
ISSN:2331-8422