What Strong Monotonicity Condition on Fourier Coefficients can make the Ratio || f - S n (f) || /E n (f) Bounded?

DOI10.2307/2160276zbMath0808.42003OpenAlexW2060123614MaRDI QIDQ4306013

Song Ping Zhou

Publication date: 15 March 1995

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2160276

zbMATH Keywords

approximationconvergence of Fourier seriesFourier coefficients

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (2)

On the relations among best approximation and Fourier coefficients ⋮ A condition of new type on Fourier coefficients makes the ratio \(\| f-S_ n(f)\| /E_ n(f)\) bounded

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