Some approximation properties of hexagonal Fourier series

DOI10.7153/jca-08-02zbMath1424.42005OpenAlexW2563493577MaRDI QIDQ4627793

Ali Guven

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-08-02

zbMATH Keywords

modulus of continuityhexagonal Fourier series\(\varphi\)-norm

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Rate of convergence, degree of approximation (41A25)

Cites Work

• On approximation of continuous functions in Lipschitz norms
• Asymptotic behavior of the Dirichlet kernel of Fourier sums with respect to a polygon
• Commuting self-adjoint partial differential operators and a group theoretic problem
• Fourier series and approximation on hexagonal and triangular domains
• Approximation properties of hexagonal Fourier series in the generalized Hölder metric
• Approximation by means of hexagonal Fourier series in Hölder norms
• Discrete Fourier Analysis, Cubature, and Interpolation on a Hexagon and a Triangle
• Zur Konvergenz der Fourierreihen hölderstetiger Funktionen
• Approximation by (C, 1) and Abel-Poisson means of Fourier series on hexagonal domains
• An analogue of Leindler's theorem for hexagonal Fourier series
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