An inequality for the entropy numbers and its application

• Autores: Vladimir N. Temlyakov
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 173, Nº 1, 2013, págs. 110-121
• Idioma: inglés
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• Resumen

  • We prove an inequality for the entropy numbers in terms of nonlinear Kolmogorov widths. This inequality is in the spirit of known inequalities of this type and it is adjusted to a form convenient in applications for m-term approximations with respect to a given system. Also, we obtain upper bounds for the m-term approximation by using the Weak Relaxed Greedy Algorithm with respect to a system which is not a dictionary.