Lp Convergence with Rates of Smooth Poisson-Cauchy Type Singular Operators

Details Lp Convergence with Rates of Smooth Poisson-Cauchy Type Singular Operators Lp Convergence with Rates of Smooth Poisson-Cauchy Type Singular Operators

2009-11-09

arxiv.org/abs/0911.1706v1

Mathematics

Classical Analysis and ODEs

article also submitted to a regular journal

Scientific paper

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.

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