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

Mezei, Razvan A

doi:10.4067/S0719-06462011000300002

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Cubo (Temuco)

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Abstract

MEZEI, Razvan A. Applications and Lipschitz results of Approximation by Smooth Picard and Gauss-Weierstrass Type Singular Integrals. Cubo [online]. 2011, vol.13, n.3, pp.17-48. ISSN 0719-0646. http://dx.doi.org/10.4067/S0719-06462011000300002.

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

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