Approximation of classes of functions of many variables by their orthogonal projections onto subspaces of trigonometric polynomials

Authors

  • A. S. Romanyuk

Abstract

In the spaceL q, 1<q<∞ we establish estimates for the orders of the best approximations of the classes of functions of many variablesB 1,θ r andB p r by orthogonal projections of functions from these classes onto the subspaces of trigonometric polynomials. It is shown that, in many cases, the estimates obtained in the present work are better in order than in the case of approximation by polynomials with harmonics from the hyperbolic cross.

Published

25.01.1996

Issue

Section

Research articles

How to Cite

Romanyuk, A. S. “Approximation of Classes of Functions of Many Variables by Their Orthogonal Projections onto Subspaces of Trigonometric Polynomials”. Ukrains’kyi Matematychnyi Zhurnal, vol. 48, no. 1, Jan. 1996, pp. 80-89, https://umj.imath.kiev.ua/index.php/umj/article/view/5365.