# Derivation of an upper bound of the constant in the error bound for a near best m-term approximation - Mathematics > Numerical Analysis

Derivation of an upper bound of the constant in the error bound for a near best m-term approximation - Mathematics > Numerical Analysis - Download this document for free, or read online. Document in PDF available to download.

Abstract: In the paper -The best m-term approximation and greedy algorithms- V. N.Temlyakov, an error bound for a near best m-term approximation of a function gin L^p0,1^d is provided, using a basis L^p-equivalent to the Haar system,where p is greater than one and less than infinity and d is a natural number.The bound includes a constant Cp that is not given explicitly. The goal ofthis paper is to find an upper bound of the constant for the Haar system.

Author: ** Wolfgang Karcher, Hans-Peter Scheffler, Evgeny Spodarev**

Source: https://arxiv.org/