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