Sain, D and Roy, S (2022) On best approximations in Banach spaces from the perspective of orthogonality. In: Banach Journal of Mathematical Analysis, 16 (3).
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Official URL: https://doi.org/10.1007/s43037-022-00194-6
Abstract
We study best approximations in Banach spaces via Birkhoff–James orthogonality of functionals. To exhibit the usefulness of Birkhoff–James orthogonality techniques in the study of best approximation problems, some algorithms and distance formulae are presented. As an application of our study, we obtain some crucial inequalities, which also strengthen the classical Hölder’s inequality. The relevance of the algorithms and the inequalities are discussed through concrete examples. © 2022, Tusi Mathematical Research Group (TMRG).
| Item Type: | Journal Article |
|---|---|
| Publication: | Banach Journal of Mathematical Analysis |
| Publisher: | Birkhauser |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 27 May 2022 05:39 |
| Last Modified: | 27 May 2022 05:39 |
| URI: | https://eprints.iisc.ac.in/id/eprint/72730 |
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