Journal
APPLIED MATHEMATICS LETTERS
Volume 22, Issue 9, Pages 1335-1339Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2009.03.001
Keywords
Functional generalization of Cauchy-Bunyakovsky-Schwarz inequality; Callebaut inequality; Wagner inequality; Milne inequality; Discrete and continuous spaces
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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. (C) 2009 Elsevier Ltd. All rights reserved.
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