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arXiv · 2312.03478

On the Generalizations of the Cauchy-Schwarz-Bunyakovsky Inequality with Applications to Elasticity

Dimitra Labropoulou·Thanasis Labropoulos·Panayiotis Vafeas·Dimitris M. Manias
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Abstract

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.

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Dimitra Labropoulou, Thanasis Labropoulos, Panayiotis Vafeas, Dimitris M. Manias. 2023-12-06. On the Generalizations of the Cauchy-Schwarz-Bunyakovsky Inequality with Applications to Elasticity. https://arxiv.org/abs/2312.03478

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