Fourier transforms and fractional Lipschitz and Nikol'skii classes in uniform metric
DOI10.1007/s10474-023-01297-8OpenAlexW4319346053MaRDI QIDQ2694863
Yu Krotova, Sergey S. Volosivets
Publication date: 4 April 2023
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-023-01297-8
Fourier transformLipschitz classNikol'skii classfractional modulus of smoothness``little Lipschitz class
Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
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Cites Work
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- Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates
- Properties of moduli of smoothness in \(L_p (\mathbb{R}^d)\)
- Absolutely convergent Fourier series and function classes
- Trigonometric series of Nikol'skii classes
- Absolutely convergent Fourier integrals and classical function spaces
- Fourier coefficients and generalized Lipschitz classes in uniform metric
- Absolutely convergent multiple Fourier series and multiplicative Lipschitz classes of functions
- On Fourier series with non-negative coefficients and two problems of R. P. Boas
- Contributions to fractional calculus and exponential approximation
- On generalized Lipschitz classes and Fourier series
- Estimates for entire functions of exponential type
- Fourier transforms and generalized Lipschitz classes in uniform metric
- Fourier series with positive coefficients
- Smoothness conditions and Fourier series
- Best Trigonometric Approximation, Fractional Order Derivatives and Lipschitz Classes
- Functions with general monotone Fourier coefficients
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