Bernstein and Bernstein-Like Inequalities for Modulation Spaces

Authors

Sa'ud Al-Sa'di, The Hashemite UniversityFollow
Salti Samarah, Jordan University of Science and TechnologyFollow

Corresponding Author

Sa'ud Al-Sa'di

Authors ORCID

https://orcid.org/0000-0003-3315-5407

Document Type

Research Article

Subject Areas

Mathematical Analysis

Keywords

Nonlinear approximation, Modulation spaces, Gabor frames, Bernstein inequality

Abstract

It is shown that the modulation spaces Mwp can be characterized by the approximation behavior of their elements using Local Fourier bases. In analogy to the Local Fourier bases, we show that the modulation spaces can also be characterized by the approximation behavior of their elements using Gabor frames. We derive direct and inverse approximation theorems that describe the best approximation by linear combinations of N terms of a given function using its modulates and translates.

How to Cite This Article

Al-Sa'di, Sa'ud and Samarah, Salti (2022) "Bernstein and Bernstein-Like Inequalities for Modulation Spaces," International Journal of Emerging Multidisciplinaries: Mathematics: Vol. 1: Iss. 1, Article 2.
DOI: https://doi.org/10.54938/ijemdm.2022.01.1.3

Receive Date

2021-12-27 12:29:56

Publication Date

1-14-2022