Series with monotone coefficients in the Walsh system
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Publication:5900345
DOI10.3103/S1068362307050032zbMath1188.42012OpenAlexW2018470941MaRDI QIDQ5900345
Publication date: 12 September 2008
Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3103/s1068362307050032
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Convergence and divergence of series and sequences of functions (40A30)
Related Items (10)
On behavior of Fourier coefficients by Walsh system ⋮ Behavior of the Fourier-Walsh coefficients of a corrected function ⋮ The structure of universal functions for $ L^p$-spaces, $ p\in(0,1)$ ⋮ Universal function for a weighted space \(L^1_{\mu}[0,1\)] ⋮ Universal functions with respect to the double Walsh system for classes of integrable functions ⋮ On the existence of universal functions with respect to the double Walsh system for classes of integrable functions ⋮ Quasiuniversal Fourier-Walsh series for the classes \(L^p[0, 1\), \(p > 1\)] ⋮ On the structure of universal functions for classes $L^p[0,1)^2$, $p\in(0,1)$, with respect to the double Walsh system ⋮ Universal functions for classes \(L^p[0,1)^2, p\in (0,1),\) with respect to the double Walsh system ⋮ On the structure of functions, universal for weighted spaces \(L_\mu ^p\left[ {0,1} \right,p > 1\)]
Cites Work
- On the divergence of greedy algorithms with respect to Walsh subsystems in \(L\)
- On series by Haar system
- Nonlinear methods of approximation
- Universal series by multiple Walsh system
- THE REPRESENTATION OF MEASURABLE FUNCTIONS BY SERIES
- On Walsh series with monotone coefficients
- Greedy algorithm for general biorthogonal systems
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