Strengthened Cauchy-Schwarz and H\"older inequalities
Numerical Analysis
2013-02-12 v1 Classical Analysis and ODEs
Abstract
We present some identities related to the Cauchy-Schwarz inequality in complex inner product spaces. A new proof of the basic result on the subject of Strengthened Cauchy-Schwarz inequalities is derived using these identities. Also, an analogous version of this result is given for Strengthened H\"older inequalities.
Keywords
Cite
@article{arxiv.1302.2254,
title = {Strengthened Cauchy-Schwarz and H\"older inequalities},
author = {J. M. Aldaz},
journal= {arXiv preprint arXiv:1302.2254},
year = {2013}
}