Convergence and integrability of rational and double rational trigonometric series with coefficients of bounded variation of higher order

DOI10.1515/GMJ-2023-2041OpenAlexW4382025029MaRDI QIDQ6080343

Rajendra G. Vyas, H. J. Khachar

Publication date: 30 October 2023

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2023-2041

zbMATH Keywords

convergenceintegrabilitybounded variationdouble rational trigonometric seriesrational trigonometric series

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Cites Work

• A note on multiple rational Fourier series
• On a Theorem of P. L. Uljanov
• Convergence and Integrability of Double Trigonometric Series with Coefficients of Bounded Variation
• Double Walsh series with coefficients of bounded variation of higher order
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