On Cesàro and Abel-Poisson means of hexagonal Fourier series

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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Publication Details

Journal
TURKISH JOURNAL OF MATHEMATICS
Published
2025-05-14
DOI
https://doi.org/10.55730/1300-0098.3592
Primary Topic
Approximation Theory and Sequence Spaces
Type
article
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article

On Cesàro and Abel-Poisson means of hexagonal Fourier series

Ali Güven
TURKISH JOURNAL OF MATHEMATICS
Approximation Theory and Sequence Spaces
article

On Cesàro and Abel-Poisson means of hexagonal Fourier series

Ali Güven
article en

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.

TURKISH JOURNAL OF MATHEMATICSVol. 49(3)
Openalex Percentile: Top 89%
Approximation Theory and Sequence Spaces
DOIOpen Access PDFOpenAlex
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On Cesàro and Abel-Poisson means of hexagonal Fourier series — Ali Güven · TURKISH JOURNAL OF MATHEMATICS (2025) | TGRS Research Map | TGRS