In this paper we take a refreshing look at a Cauchy–Schwarz type inner product inequalities. We also provide a Cauchy–Schwarz based proof and a refinement of Buzano’s inequality in inner product spaces. Some elementary applications such as trace inequalities for unitary matrices and discrete or integral inequalities are given. 2013 Elsevier Inc. All rights reserved.

This document presents the mechanised proofs of two popular theorems attributed to Augustin Louis Cauchy Cauchy’s Mean Theorem and the Cauchy-Schwarz Inequality.

We explore two generalizations of the Cauchy-Schwarz Bessel’s inequality and the Selberg inequality and their application to probability theory. We then give a tautological proof of the De Caen-Selberg Inequality and a proof of the second Borel-Cantelli Lemma with negative dependence. We finish with a suggestion of how linear operator theory can help us understand the tightness of many Selberg-...

The Cauchy-Schwarz, Buzano and Kre\u{\i}n inequalities are three about inner product. main goal of this article is to present refinements Cauchy-Schwarz inequalities, a new proof refined version Kre\u{\i}n-type inequality. Applications that include Buzano-type for certain operators, operator norm numerical radius Hilbert space operators will be presented.

This paper reviews model based methods for non rigid shape analysis and recognition These methods model match and classify non rigid shapes which are generally problematic for conventional algorithms using rigid models Issues including deformable model represen tation optimization criteria formulation model matching and classi cation are examined in detail The emphasis of this paper is on D def...

We propose a methodology for animating complexmodels based on simplexmesh represen tation and deformation A simplex mesh is characterized by a connectivity between vertices of three and can be obtained by duality from a triangulation In addition to their generality of representation simplex meshes have a compact and unambiguous shape description related to the notion of mean curvature We devise...