ERROR QUANTIFICATION FOR APPROXIMATION IN GENERALIZED ZYGMUND CLASSES USING THREE-HARMONIC POISSON INTEGRALS

ERROR QUANTIFICATION FOR APPROXIMATION IN GENERALIZED ZYGMUND CLASSES USING THREE-HARMONIC POISSON INTEGRALS

X. Z. Krasniqi

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Abstract

This paper examines the error in approximation within generalized Zygmund classes using three-harmonic Poisson integrals. The error is measured using two moduli of continuity of order two, within the relevant norm, providing a clear understanding of how the approximation works.

Keywords

Degree of approximation, Three-harmonic Poisson integrals, Generalized Zygmund class, Three-harmonic Poisson kernel, Modulus of continuity of order two.