Journal of Applied & Computational Mathematics

Estimations of s-Numbers of an Infinite Matrix Operator on H₁^β Spaces

Abstract

Abd El Ghaffar H

In this paper we study conditions that an infinite matrix has to satisfy in order to define a linear bounded operator from any weighted with a weight sequence ß={ ßi} of positive numbers into itself, and give upper and lower estimations of the approximation numbers of such an infinite matrix.