On the \(L^p\)-greedy universal functions with respect to the generalized Walsh system
DOI10.3103/S106836232206005XMaRDI QIDQ2694165
L. S. Simonyan, Tigran M. Grigoryan, S. A. Episkoposyan
Publication date: 28 March 2023
Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Completeness of sets of functions in one variable harmonic analysis (42A65)
Cites Work
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- \(L^p\)-convergence of greedy algorithm by generalized Walsh system
- On generalized Walsh Fourier series
- On nonlinear approximation with respect to the Haar system and modifications of functions
- Nonlinear methods of approximation
- On the universal function for weighted spaces \(L^p_{\mu}[0,1, p\geq1\)]
- Some remarks on greedy algorithms
- Divergence of decreasing rearranged Fourier series
- Double universal Fourier series
- Sequences of derivatives and normal families
- A class of generalized Walsh functions
- Modifications of functions, Fourier coefficients and nonlinear approximation
- Universal functions in `correction' problems guaranteeing the convergence of Fourier-Walsh series
- Greedy approximation with respect to certain subsystems of the Walsh orthonormal system
- On greedy algorithms with respect to generalized Walsh system
- Uniform convergence of the greedy algorithm with respect to the Walsh system
- Non-linear approximation of continuous functions by the Faber-Schauder system
- Mean Convergence of Generalized Walsh-Fourier Series
- A Remarkable Series of Orthogonal Functions (I)
- The Generalized Walsh Functions
- Greedy algorithm for general biorthogonal systems
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