A note on best n-term approximation for generalized Wiener classes

TL;DR

This paper investigates the optimal n-term approximation within generalized Wiener classes in a Hilbert space, providing theoretical insights and applying the results to specific cases.

Contribution

It introduces a new theoretical framework for best n-term approximation in generalized Wiener classes and applies it to various special cases.

Findings

Derived explicit formulas for best n-term approximation in Wiener classes

Extended the theory to multiple special cases

Provided insights into approximation efficiency in Hilbert spaces

Abstract

We determine the best n-term approximation of generalized Wiener model classes in a Hilbert space $H $. This theory is then applied to several special cases.