engleski

General inequalities via isotonic subadditive functionals

In this paper a number of general inequalities for isotonic subadditive functionals on a set of positive mappings are proved and applied. In particular, it is pointed out that these inequalities both unify and generalize some general forms of the Holder, Popoviciu, Minkowski, Bellman and Power mean inequalities. Also some refinements of some of these results are proved.

isotonic; subadditive functional; Holder; Minkowski; Bellman; Popoviciu inequality; interpolation; K-functional; Orlicz spaces; Lorentz spaces

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