Properties of some functionals associated with h-concave and quasilinear functions with applications to inequalities
نویسندگان
چکیده
*Correspondence: [email protected] 2Department of Mathematics, University of Zagreb, Zagreb, Croatia Full list of author information is available at the end of the article Abstract We consider quasilinearity of the functional (h ◦ v) · ( ◦ gv ), where is a monotone h-concave (h-convex) function, v and g are functionals with certain super(sub)additivity properties. Those general results are applied to some special functionals generated with several inequalities such as the Jensen, Jensen-Mercer, Beckenbach, Chebyshev and Milne inequalities.
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تاریخ انتشار 2014