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

2023/12/06 by D. Labropoulou, Thanassis Labropoulos, Labropoulou, Dimitra +5 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Contact Mechanics and Variational Inequalities #Differential Geometry (math.DG) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.2312.03478

openalex publication_date 2023/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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