On estimates of M-term approximations of classes in a symmetric space

Subject Approximation theory
Title On estimates of M-term approximations of classes in a symmetric space
Author(s) S.Mahashev, G.Akishev
Keywords S.Mahashev, G.Akishev
Abstract Symmetrical space of periodic functions of many variables and Nikol`ski – Besov class in this space were considered. Inequalities of different metrics for trigonometric polynomials were proved. The exact order of the best М- term approximation of Nikol`ski – Besov class in symmetrical space was obtained.