Approximation and Schauder bases in Müntz spaces $M_{\Lambda ,C}$ of continuous functions

Abstract

In this article Müntz spaces $M_{\Lambda ,C}$ of continuous functions supplied with the absolute maximum norm are considered. An approximation of functions in Müntz spaces $M_{\Lambda ,C}$ of continuous functions by Fourier series is studied. An existence of Schauder bases in Müntz spaces $M_{\Lambda ,C}$ is investigated.

19 pages, observed misprints are corrected

References in corpus (1)

• Approximation in Müntz spaces $M_{\Lambda ,p}$ of $L_p$ functions for $1<p<\infty$ and bases