Approximation of certain bivariate functions by almost Euler means of double Fourier series

DOI10.1186/S13660-018-1676-0zbMath1497.42018OpenAlexW2804462618WikidataQ55058276 ScholiaQ55058276MaRDI QIDQ824532

Uaday Singh, Arti Rathore

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1676-0

zbMATH Keywords

double Fourier seriesmodulus of continuitymodulus of smoothnessZygmund classsymmetric partial sumsLipschitz classalmost Euler means

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Matrix methods for summability (40C05) Rate of convergence, degree of approximation (41A25) Fourier series and coefficients in several variables (42B05) Summability in several variables (42B08)

Related Items (3)

Trigonometric approximation of functions \(f(x,y)\) of generalized Lipschitz class by double Hausdorff matrix summability method ⋮ Approximation by double second type delayed arithmetic mean of periodic functions in \(H_p^{(\omega, \omega)}\) space ⋮ Unnamed Item

Cites Work

• Approximation by Nörlund means of double Fourier series to continuous functions in two variables
• Approximation by Nörlund means of double Fourier series for Lipschitz functions
• On the degree of approximation by Gauss Weierstrass integrals
• Approximation to continuous functions by Cesàro means of double Fourier series and conjugate series
• A contribution to the theory of divergent sequences
• Almost convergence of double sequences and strong regularity of summability matrices
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