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Open Access Open Badges Research Article

An extension of Chebyshev's inequality and its connection with Jensen's inequality

Constantinp P Niculescu

Author Affiliations

Department of Mathematics, University of Craiova, Craiova 1100, Romania

Journal of Inequalities and Applications 2001, 2001:408678  doi:10.1155/S1025583401000273

The electronic version of this article is the complete one and can be found online at: http://www.journalofinequalitiesandapplications.com/content/2001/4/408678

Received:24 November 1999
Revisions received:17 February 2000

© 2001 Niculescu

The aim of this paper is to show that Jensen's Inequality and an extension of Chebyshev's Inequality complement one another, so that they both can be formulated in a pairing form, including a second inequality, that provides an estimate for the classical one.

Convex functions; Subdifferential; Mean value