General Properties of Taylor Series 1896-1996.
Généralisation de la série de Lagrange
Généralisation de la série de Taylor
Greedy Approximation with Regard to Bases and General Minimal Systems
*This research was supported by the National Science Foundation Grant DMS 0200187 and by ONR Grant N00014-96-1-1003This paper is a survey which also contains some new results on the nonlinear approximation with regard to a basis or, more generally, with regard to a minimal system. Approximation takes place in a Banach or in a quasi-Banach space. The last decade was very successful in studying nonlinear approximation. This was motivated by numerous applications. Nonlinear approximation is important...