Greedy Approximation
Metric entropy and sparse linear approximation of lq-hulls for 0
Journal of Approximation Theory
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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.