Approximation theorems connected with differential-difference operator
Functional Analysis
2017-04-25 v1
Abstract
In the present paper, we propose to give an extension to the context of Dunkl theory of the notion of translation and in connection with this a corresponding extension of Taylor's formula. More precisely, we prove some properties and estimates of the integral remainder in the generalized Taylor formula associated to the Dunkl operator on the real line and we describe the Besov-type spaces for which the remainder has a given order.
Cite
@article{arxiv.1704.06997,
title = {Approximation theorems connected with differential-difference operator},
author = {Chokri Abdelkefi and Safa Chabchoub},
journal= {arXiv preprint arXiv:1704.06997},
year = {2017}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1704.05273