Transformation of Fourier series by means of general monotone sequences
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Publication:2192139
DOI10.1134/S0001434620050041zbMath1442.42012OpenAlexW3041222629MaRDI QIDQ2192139
B. V. Simonov, A. A. Jumabayeva
Publication date: 29 June 2020
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434620050041
Trigonometric approximation (42A10) Best approximation, Chebyshev systems (41A50) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (3)
Functions with general monotone Fourier coefficients ⋮ Unnamed Item ⋮ Functions preserving general monotone sequence
Cites Work
- Liouville-weyl derivatives, best approximations, and moduli of smoothness
- Weighted Fourier inequalities: Boas' conjecture in \({\mathbb{R}}^{n}\)
- Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes
- Trigonometric series with general monotone coefficients
- On \(L_1\)-convergence of Fourier series
- Inequalities for moduli of smoothness of functions and their Liouville-Weyl derivatives
- On generalized Lipschitz classes and Fourier series
- Inverse theorems for the approximation of \((\psi{},\beta{})\)- differentiable functions
- Generalized Lipschitz classes and Fourier coefficients
- A Hardy-Littlewood theorem for multiple series
- Convergence of trigonometric series with general monotone coefficients
- A concept of general monotonicity and applications
- Embedding theorems in constructive approximation
- Integrability and continuity of functions represented by trigonometric series: coefficients criteria
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