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arXiv · 0911.1706

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

George Anastassiou·Razvan Mezei
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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.

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George Anastassiou, Razvan Mezei. 2009-11-09. Lp Convergence with Rates of Smooth Poisson-Cauchy Type Singular Operators. https://arxiv.org/abs/0911.1706

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