Applications of the theory of generalized Fourier transforms to Tikhonov problems
We define and study multiplier operators associated with the Sturm-Liouville operator involving a nonnegative function satisfying certain conditions. We introduce and study the extremal function, and we deduce approximate inversion formulas for the multipliers operators in a Paley-Wiener type space.
Authors
- Akram Nemri (ORCID: https://orcid.org/0000-0001-9195-5037)
- Fethi Soltani (ORCID: https://orcid.org/0000-0001-7519-0994)
Institutions
- Tunis University (TN)
- University of Carthage (TN)
- École Nationale d'Ingénieurs de Gabès (TN)
- Tunis El Manar University (TN)
Publication Details
- Journal
- Journal of Numerical Analysis and Approximation Theory
- Published
- 2025-06-30
- DOI
- https://doi.org/10.33993/jnaat541-1539
- Citations
- 1
- Primary Topic
- Mathematical Analysis and Transform Methods
- Type
- article
- Field-Weighted Citation Impact
- 3.73