On the Generalizations of the Cauchy-Schwarz-Bunyakovsky Inequality with Applications to Elasticity
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866916076029214720 |
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| author | Labropoulou, Dimitra Labropoulos, Thanasis Vafeas, Panayiotis Manias, Dimitris M. |
| author_facet | Labropoulou, Dimitra Labropoulos, Thanasis Vafeas, Panayiotis Manias, Dimitris M. |
| contents | In this article we present both the discrete and the integral form of Cauchy-Bunyakovsky-Schwarz (CBS) inequality, some important generalizations in the n-dimensional Euclidean space and in linear subspaces of it, as well as the strengthened CBS. The last CBS inequality plays an important role in elasticity problems. A geometrical interpretation and a collection of the most important proofs of it are, also, presented. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_03478 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Generalizations of the Cauchy-Schwarz-Bunyakovsky Inequality with Applications to Elasticity Labropoulou, Dimitra Labropoulos, Thanasis Vafeas, Panayiotis Manias, Dimitris M. Functional Analysis Differential Geometry In this article we present both the discrete and the integral form of Cauchy-Bunyakovsky-Schwarz (CBS) inequality, some important generalizations in the n-dimensional Euclidean space and in linear subspaces of it, as well as the strengthened CBS. The last CBS inequality plays an important role in elasticity problems. A geometrical interpretation and a collection of the most important proofs of it are, also, presented. |
| title | On the Generalizations of the Cauchy-Schwarz-Bunyakovsky Inequality with Applications to Elasticity |
| topic | Functional Analysis Differential Geometry |
| url | https://arxiv.org/abs/2312.03478 |