On Ces\`aro and Abel-Poisson Means of Hexagonal Fourier Series

Abstract

Approximation properties of Ces\`aro and Abel-Poisson means of hexagonal Fourier series are studied. The degree of approximation by these means of hexagonal Fourier series of functions, which are continuous and periodic with respect to the hexagon lattice, is estimated in terms of modulus of continuity of functions.

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