Real, Complex and Functional Analysis

An analog of Markov's theorem

I. A. Drozhzhin

Tver State University, Tver

Abstract: In the space of functions summable on a segment, the sign of the best approximation for approximation by elements of a finite-dimensional cone, which is analogue of the well-known theorem of Markov A.A.

Keywords: banach space, closed convex set, summable function, best approximation, cone of finite dimension, extended cone, interpolation polynomial.

UDC: 517.5

Received: 16.06.2017
Revised: 17.07.2017

DOI: 10.26456/vtpmk190

Bibliographic databases:

•