
The authors present the properties of basis which are important for certain direct and inverse theorems in nonlinear approximation. They study greedy approximation with regard to the basis with different properties. Some results known for unconditional bases are extended to the case of quasi-greedy bases.
greedy algorithm, \(m\)-term approximation, greedy basis, quasi-greedy basis, Approximation by arbitrary nonlinear expressions; widths and entropy, Multidimensional problems, Rate of convergence, degree of approximation
greedy algorithm, \(m\)-term approximation, greedy basis, quasi-greedy basis, Approximation by arbitrary nonlinear expressions; widths and entropy, Multidimensional problems, Rate of convergence, degree of approximation
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