Fourier-Price coefficients of class GM and best approximations of functions in the Lorentz space \(L_{p\theta}[0, 1)\), \(1
DOI10.1134/S0081543816040064zbMath1354.42004OpenAlexW2504685728MaRDI QIDQ338484
A. U. Bimendina, Esmukhanbet Smailov
Publication date: 7 November 2016
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543816040064
Hardy-Littlewood theorembest approximationsLorentz spacesFourier-Price coefficientsNikol'skii-Besov spacesPrice polynomials
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Best approximation, Chebyshev systems (41A50) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Trigonometric series with general monotone coefficients
- On the best approximation of functions with respect to multiplicative systems and the properties of their Fourier coefficients
- The Hardy-Littlewood theorem for trigonometric series with generalized monotone coefficients
- Distribution functions and trigonometric series with monotonically decreasing coefficients
- Best approximation and Fourier coefficients
- Mean Convergence of Generalized Walsh-Fourier Series
- FOURIER COEFFICIENTS OF SUMMABLE FUNCTIONS
- Net spaces and inequalities of Hardy-Littlewood type
- On the coefficients of multiple Fourier series in $ L_p$-spaces
- Hardy-Littlewood theorem for trigonometric series with α-monotone coefficients
- IMBEDDING THEOREMS AND RELATIONS BETWEEN BEST APPROXIMATIONS (MODULI OF CONTINUITY) IN DIFFERENT METRICS
- An application of interpolation theory to Fourier series
This page was built for publication: Fourier-Price coefficients of class GM and best approximations of functions in the Lorentz space \(L_{p\theta}[0, 1)\), \(1<p<+\infty\), \(1<\theta<+\infty\)
