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

DOI10.1006/JMAA.2000.6745zbMath1008.42003OpenAlexW1970448751MaRDI QIDQ1977791

Chang-Pao Chen, Lonkey Chen

Publication date: 10 April 2003

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6745

zbMATH Keywords

trigonometric series\(O\)-regularly varying quasimonotone 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 (6)

Functions with general monotone Fourier coefficients ⋮ Trigonometric series with general monotone coefficients ⋮ Generalized Lagrange function and generalized weak saddle points for a class of multiobjective fractional optimal control problems ⋮ Sharp two-sided estimate for the sum of a sine series with convex slowly varying sequence of coefficients ⋮ Smoothness and asymptotic properties of functions with general monotone Fourier coefficients ⋮ A sixth bibliography of fractional programming

Cites Work

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• On trigonometric series with quasimonotone coefficients
• Asymptotic behavior of trigonometric series with \(O\)-regularly varying quasimonotone coefficients
• A unified theory of regularly varying sequences
• Generalized Lipschitz classes and asymptotic behavior of Fourier series
• Fourier-Koeffizienten und Funktionenklassen
• Uniform convergence of double trigonometric series

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