Trigonometric series of Nikol'skii classes
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Publication:879219
DOI10.1007/S10474-006-0513-YzbMath1121.42006OpenAlexW2095126400MaRDI QIDQ879219
Publication date: 8 May 2007
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-006-0513-y
Lipschitz (Hölder) classes (26A16) 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 (23)
Refinement of the relations between mixed smoothness moduli in \(L_1\) and \(L_q\) metrics ⋮ Unnamed Item ⋮ Functions with general monotone Fourier coefficients ⋮ Sharp Ul'yanov-type inequalities using fractional smoothness ⋮ Refinement of relations between mixed moduli of smoothness in the metrics of \(L_p\) and \(L_\infty \) ⋮ On weighted \(L^p\) integrability of functions defined by trigonometric series ⋮ Multiple sine series and Nikol'skii classes in uniform metric ⋮ Approximation of even functions with nonnegative Fourier coefficients by fractional Riesz sums ⋮ Boas-type results for Mellin transform ⋮ On the degree of continuity and smoothness of sine and cosine Fourier transforms of Lebesgue integrable functions ⋮ Boas type results for two-sided quaternion Fourier transform and uniform Lipschitz spaces ⋮ Fourier transforms and fractional Lipschitz and Nikol'skii classes in uniform metric ⋮ Best approximation and moduli of smoothness: Computation and equivalence theorems ⋮ Smoothness and asymptotic properties of functions with general monotone Fourier coefficients ⋮ Addendum to ``Trigonometric series of Nikol'skii classes ⋮ Sharp Ul'yanov inequalities for generalized Liouville-Weyl derivatives ⋮ On summability of Fourier coefficients of functions from Lebesgue space ⋮ Fourier transforms and generalized Lipschitz classes in uniform metric ⋮ Smoothness of functions and Fourier coefficients ⋮ Decay of Fourier Transforms and Generalized Besov Spaces ⋮ Fourier-Dunkl transforms and generalized symmetric Lipschitz classes ⋮ Inequalities refining relations between mixed moduli of smoothness in \(L_1\) and \(L_q\) metrics ⋮ Function Spaces of Logarithmic Smoothness: Embeddings and Characterizations
Cites Work
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- Trigonometric series with general monotone coefficients
- On Fourier series with non-negative coefficients and two problems of R. P. Boas
- Order estimates for best approximations and moduli of continuity of the sum of a trigonometric series with quasi-monotone coefficients
- On generalized Lipschitz classes and Fourier series
- On moduli of smoothness of fractional order
- Generalized Lipschitz classes and asymptotic behavior of Fourier series
- Fourier-Koeffizienten und Funktionenklassen
- Smoothness conditions and Fourier series
- Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
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