Asymptotic behavior of trigonometric series with \(O\)-regularly varying quasimonotone coefficients

DOI10.1006/JMAA.2000.6952zbMath0970.42002OpenAlexW4210389758MaRDI QIDQ1588415

Lonkey Chen, Chang-Pao Chen

Publication date: 2 October 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6952

zbMATH Keywords

trigonometric seriesslowly varying functionquasimonotone coefficients

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (3)

Trigonometric series with general monotone coefficients ⋮ Sharp two-sided estimate for the sum of a sine series with convex slowly varying sequence of coefficients ⋮ Asymptotic behavior of trigonometric series with \(O\)-regularly varying quasimonotone coefficients. II

Cites Work

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• On trigonometric series with quasimonotone coefficients
• A unified theory of regularly varying sequences
• Tauberian Theorems for Jacobi Series
• Some Theorems Concerning Trigonometrical Series of a Special Type
• Uniform convergence of double trigonometric series
• A Note on a Theorem of Hardy on Trigonometrical Series
• NOTES ON FOURIER SERIES (III): ASYMPTOTIC FORMULAE FOR THE SUMS OF CERTAIN TRIGONOMETRICAL SERIES

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