A note on multiple rational Fourier series

DOI10.1007/S10998-021-00433-7OpenAlexW3215318320MaRDI QIDQ2678427

H. J. Khachar, Rajendra G. Vyas

Publication date: 23 January 2023

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-021-00433-7

zbMATH Keywords

generalized bounded variationmultiple rational Fourier coefficientrational Fourier coefficient

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Inequalities for sums, series and integrals (26D15) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Fourier series and coefficients in several variables (42B05)

Related Items (3)

Rate of convergence for rational and conjugate rational Fourier series of functions of generalized bounded variation ⋮ Convergence and integrability of rational and double rational trigonometric series with coefficients of bounded variation of higher order ⋮ Properties of rational Fourier series and generalized Wiener class

Cites Work

• Unnamed Item
• Order of magnitude of multiple Fourier coefficients of functions of bounded variation
• Approximate identification in Laguerre and Kautz bases
• On the order of rational Fourier coefficients of various bounded variations
• On multiple Fourier coefficients of functions of ϕ-Λ;-bounded variation
• Order of Magnitude of Multiple Fourier Coefficients

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