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A functional generalization of the Cauchy–Schwarz inequality and some subclasses

✍ Scribed by Mohammad Masjed-Jamei

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 391 KB
Volume: 22
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2009.03.001

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✦ Synopsis

In this work, a functional generalization of the Cauchy-Schwarz inequality is presented for both discrete and continuous cases and some of its subclasses are then introduced. It is also shown that many well-known inequalities related to the Cauchy-Schwarz inequality are special cases of the inequality presented.

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