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A CONCEPT OF SYNCHRONICITY ASSOCIATED WITH CONVEX FUNCTIONS IN LINEAR SPACES AND APPLICATIONS

Part of: Inequalities

Published online by Cambridge University Press:  18 June 2010

S. S. DRAGOMIR
S. S. DRAGOMIR*
Affiliation:
Mathematics, School of Engineering and Science, Victoria University, PO Box 14428, Melbourne City, Vic 8001, Australia School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag-3, Wits-2050, Johannesburg, South Africa (email: sever.dragomir@vu.edu.au)
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Abstract

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A concept of synchronicity associated with convex functions in linear spaces and a Chebyshev type inequality are given. Applications for norms, semi-inner products and convex functions of several real variables are also given.

Keywords

convex functionsGâteaux derivativesnormssemi-inner productssynchronous sequencesChebyshev inequality

MSC classification

Secondary: 26D15: Inequalities for sums, series and integrals
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 82 , Issue 2 , October 2010 , pp. 328 - 339
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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