Applications and Lipschitz results of approximation by smooth Picard and Gauss-Weierstrass type singular integrals

Razvan A. Mezei

doi:10.4067/S0719-06462011000300002

Applications and Lipschitz results of approximation by smooth Picard and Gauss-Weierstrass type singular integrals

Authors

Razvan A. Mezei The University of Memphis, Department of Mathematical Sciences, Memphis, TN 38152, U.S.A.

DOI:

https://doi.org/10.4067/S0719-06462011000300002

Keywords:

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

Abstract

We continue our studies in higher order uniform convergence with rates and in L_p 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.

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Published

2011-10-01

How to Cite

[1]

R. A. Mezei, “Applications and Lipschitz results of approximation by smooth Picard and Gauss-Weierstrass type singular integrals”, CUBO, vol. 13, no. 3, pp. 17–48, Oct. 2011.