Connections Between the Jensen and the Chebychev Functionals

Conference paper

DOI: 10.1007/978-3-0348-0249-9_17

Part of the International Series of Numerical Mathematics book series (ISNM, volume 161)
Cite this paper as:
Mitroi F.C. (2012) Connections Between the Jensen and the Chebychev Functionals. In: Bandle C., Gilányi A., Losonczi L., Plum M. (eds) Inequalities and Applications 2010. International Series of Numerical Mathematics, vol 161. Birkhäuser, Basel

Abstract

This work is devoted to the study of connections between the Jensen functional and the Chebychev functional for convex, superquadratic and strongly convex functions. We give a more general definition of these functionals and establish some inequalities involving them. The entire discussion incorporates both the discrete and the continuous approach.

Keywords

Jensen functional Chebychev functional Superquadratic Convex Strong convex function 

Mathematics Subject Classification

26B25 26E60 26D15 

Copyright information

© Springer Basel 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CraiovaCraiovaRomania

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