Table of Contents

Introduction.- Lebesgue-type inequalities for greedy approximation with respect to some classical bases.- Quasi-greedy bases and Lebesgue-type inequalities.- Almost greedy bases and duality.- Greedy approximation with respect to the trigonometric system.- Greedy approximation with respect to dictionaries.- Appendix.​

Reviews

“This book mainly deals with a kind of interesting and current nonlinear approximation called m-term approximation, or sparse approximation, with bases. … The book is based on numerous research papers of the author and is recommended to researchers working in approximation theory, numerical analysis, harmonic analysis and functional analysis. Also, it could be used for various graduate courses in the above mentioned topics.” (Sorin Gheorghe Gal, zbMATH 1317.41019, 2015)