Connections Between the Jensen and the Chebychev Functionals
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.
KeywordsJensen functional Chebychev functional Superquadratic Convex Strong convex function
Mathematics Subject Classification26B25 26E60 26D15
The author is grateful to Professor S. Abramovich for her valuable suggestions. Thank the anonymous referee for his careful reading and pertinent comments. Also the author acknowledge the support of CNCSIS Grant 420/2008.
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