Strengthened Cauchy-Schwarz and Hölder inequalities
arXiv:1302.225428 citationsh-index: 16
Originality Synthesis-oriented
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Provides theoretical refinements of fundamental inequalities for mathematicians working in analysis and linear algebra.
The paper derives new identities related to the Cauchy-Schwarz inequality in complex inner product spaces, leading to a new proof of strengthened Cauchy-Schwarz inequalities and an analogous result for strengthened Hölder inequalities.
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 Hölder inequalities.