\(L^p\)-convergence of greedy algorithm by generalized Walsh system
From MaRDI portal
Publication:764978
DOI10.1016/j.jmaa.2012.01.014zbMath1238.42011OpenAlexW2062398275MaRDI QIDQ764978
Martin G. Grigoryan, Sergo A. Episkoposian
Publication date: 16 March 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0022247X12000303
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10)
Related Items (5)
On the uniform convergence of the greedy algorithm in a generalized Walsh system ⋮ Universal functions in `correction' problems guaranteeing the convergence of Fourier-Walsh series ⋮ On the \(L^p\)-greedy universal functions with respect to the generalized Walsh system ⋮ Application of negative order Cesàro summability methods to Fourier–Walsh series of functions from $L^{\infty }[0, 1$] ⋮ Nonlinear approximation by the trigonometric system in weighted \(L_\mu^p\) spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On generalized Walsh Fourier series
- The entropy in learning theory. Error estimates
- On the divergence of greedy algorithms with respect to Walsh subsystems in \(L\)
- Nonlinear methods of approximation
- Some remarks on greedy algorithms
- Divergence of decreasing rearranged Fourier series
- Walsh series and adjustment of functions on small sets
- A class of generalized Walsh functions
- 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
- Modifications of functions and Fourier series
- Mean Convergence of Generalized Walsh-Fourier Series
- A Remarkable Series of Orthogonal Functions (II)
- On a class of complete orthonormal systems
- The Generalized Walsh Functions
- Greedy algorithm for general biorthogonal systems
- Approximate weak greedy algorithms
This page was built for publication: \(L^p\)-convergence of greedy algorithm by generalized Walsh system
