Smoothness of functions and Fourier coefficients
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Publication:5194987
DOI10.1070/SM9096zbMath1422.42006OpenAlexW2936807843MaRDI QIDQ5194987
M. I. D'yachenko, Askhat Birlesovich Mukanov, Sergey Yu. Tikhonov
Publication date: 17 September 2019
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm9096
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) 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 (6)
On the convergence of generalizations of the sinc approximations on the Privalov–Chanturia class ⋮ Functions with general monotone Fourier coefficients ⋮ A summation method for trigonometric Fourier series based on sinc-approximations ⋮ Unnamed Item ⋮ Trigonometric series with coefficients general monotone with respect to subsequences ⋮ Functions preserving general monotone sequence
Cites Work
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- Relations among Fourier coefficients and sum-functions
- Smoothness and asymptotic properties of functions with general monotone Fourier coefficients
- Moduli of smoothness and growth properties of Fourier transforms: two-sided estimates
- Trigonometric series with a generalized monotonicity condition
- Regularly varying rates of decrease for moduli of continuity and Fourier transforms of functions on \({\mathbb{R}}^ d\)
- Trigonometric series with general monotone coefficients
- A remark on ``two-sided monotonicity condition: an application to \(L^p\) convergence
- Trigonometric series of Nikol'skii classes
- Best approximation and moduli of smoothness: Computation and equivalence theorems
- Asymptotics of rearranged trigonometric and Walsh-Fourier coefficients of smooth functions
- Moduli of smoothness and \(K\)-functionals in \(L_ p\), \(0<p<1\)
- On summability of Fourier coefficients of functions from Lebesgue space
- Über den Stetigkeitsmodul von Fourier-Reihen mit monotonen Koeffizienten
- Sharp Jackson inequalities
- Fourier-Koeffizienten und Funktionenklassen
- Rearrangement Estimates for Fourier Transforms inLp andHp in Terms of Moduli of Continuity
- A concept of general monotonicity and applications
- Hardy–Littlewood and Ulyanov inequalities
- Embedding theorems in constructive approximation
- On relations among Fourier coefficients and sum-functions
- Hardy–Littlewood theorems for trigonometric series with general monotone coefficients
- On the Integral Moduli of Continuity in L p (1 < p < ∞) of Fourier Series with Monotone Coefficients
- On the integral modulus of continuity of Fourier series
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