Lp Convergence with Rates of Smooth Poisson-Cauchy Type Singular Operators
Classical Analysis and ODEs
2009-11-10 v1
Abstract
In this article we continue the study of smooth Poisson-Cauchy Type singular integral operators on the line regarding their convergence to the unit operator with rates in the Lp norm, p greater equal one. The related established inequalities involve the higher order Lp modulus of smoothness of the engaged function or its higher order derivative.
Keywords
Cite
@article{arxiv.0911.1706,
title = {Lp Convergence with Rates of Smooth Poisson-Cauchy Type Singular Operators},
author = {George Anastassiou and Razvan Mezei},
journal= {arXiv preprint arXiv:0911.1706},
year = {2009}
}
Comments
article also submitted to a regular journal