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

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DOI:

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

Abstract

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.

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
  • Razvan A. Mezei The University of Memphis, Department of Mathematical Sciences, Memphis, TN 38152, U.S.A.
  • Pages: 17–48
  • Date Published: 2011-10-01
  • Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal

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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.

Issue

Vol. 13 No. 3 (2011): CUBO, A Mathematical Journal

Section

Articles