Applications and Lipschitz results of Approximation by Smooth Picard and Gauss-Weierstrass Type Singular Integrals

Applications and Lipschitz results of Approximation by Smooth Picard and Gauss-Weierstrass Type Singular Integrals

We continue our studies in higher order uniform convergence with rates and in Lp convergence with rates. Namely, in this article we establish some Lipschitz type results for the smooth Picard type singular integral operators and for the smooth Gauss-Weierstrass type singular integral operators.<b...

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Bibliographic Details
Main Author: Razvan A Mezei
Format: Article
Language:English
Published: Universidad de La Frontera 2011-10-01
Series:Cubo
Subjects:
Smooth Picard Type singular integral
Smooth Gauss-Weierstrass Type singular integral
modulus of smoothness
rate of convergence
Lp convergence
Higher Order Uniform Convergence with Rates
sharp inequality
Lipschitz functions
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462011000300002
Description
Summary:We continue our studies in higher order uniform convergence with rates and in Lp convergence with rates. Namely, in this article we establish some Lipschitz type results for the smooth Picard type singular integral operators and for the smooth Gauss-Weierstrass type singular integral operators.<br>Continuamos nuestros estudios sobre convergencia uniforme de orden superior con radios y sobre convergencia Lp con radios. Concretamente, en este artículo establecemos algunos resultados de tipo Lipschitz para operadores integrales suves del tipo Picard singulares y para operadores integrales singulares de tipo Gauss-Weierstrass.
ISSN:0716-7776
0719-0646

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