Bernstein and Bernstein-Like Inequalities for Modulation Spaces
DOI:
https://doi.org/10.54938/ijemdm.2022.01.1.3Keywords:
Nonlinear approximation, Modulation spaces, Gabor frames, Bernstein inequalityAbstract
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.
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Published
2022-01-14
How to Cite
Al-Sa'di, S., & Samarah, S. . (2022). Bernstein and Bernstein-Like Inequalities for Modulation Spaces. International Journal of Emerging Multidisciplinaries: Mathematics, 1(1), 91–101. https://doi.org/10.54938/ijemdm.2022.01.1.3
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Copyright (c) 2022 International Journal of Emerging Multidiciplinaries: Mathematics
This work is licensed under a Creative Commons Attribution 4.0 International License.
