Abstract
We study the efficiency of the greedy algorithm for wavelet bases in Lorentz spaces in order to give the near best approximation. The result is used to give sharp inclusions for the approximation spaces in terms of discrete Lorentz sequence spaces.
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Communicated by Vladimir N. Temlyakov.
The research of E. Hernández is supported by Grant MTM2007-60952 of Spain and SIMUMAT S-0505/ESP-0158 of the Madrid Community Region. The research of J.M. Martell is supported by MEC “Programa Ramón y Cajal, 2005,” by MEC Grant MTM2007-60952, and by UAM-CM Grant CCG07-UAM/ESP-1664. The research of M. de Natividade is supported by Instituto Nacional de Bolsas de Estudos de Angola, INABE.
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Hernández, E., Martell, J.M. & de Natividade, M. Quantifying Democracy of Wavelet Bases in Lorentz Spaces. Constr Approx 33, 1–14 (2011). https://doi.org/10.1007/s00365-010-9113-8
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DOI: https://doi.org/10.1007/s00365-010-9113-8