Generalized Lipschitz classes and asymptotic behavior of Fourier series

DOI10.1016/0022-247X(91)90007-MzbMath0724.42011MaRDI QIDQ2644889

Ling-Yau Chan

Publication date: 1991

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

zbMATH Keywords

Fourier seriesLipschitz classescosine and sine series with nonnegative coefficients

Mathematics Subject Classification ID

Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (3)

Trigonometric series of Nikol'skii classes ⋮ Asymptotic behavior of trigonometric series with \(O\)-regularly varying quasimonotone coefficients. II ⋮ On generalized Lipschitz classes and Fourier series

Cites Work

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• On classes of asymptotic functions and integrability of power series and trigonometric series
• Some further asymptotic properties of Fourier constants
• On Fourier series with non-negative coefficients and two problems of R. P. Boas
• Fourier series with positive coefficients
• On the singular integrals, I
• Some properties of asymptotic functions
• Regularly varying functions in the theory of simple branching processes
• Some Properties of Asymptotic Functions and their Applications
• Concerning the Generalization of the Young-Hausdorff Theorem and the Hardy-Littlewood Theorems on Fourier Constants
• On two-functional spaces
• Positive-coefficient elements of Hardy-Orlicz spaces

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