Functional inequalities for superquadratic functions (CROSBI ID 137624)
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Podaci o odgovornosti
Banić, Senka ; Varošanec, Sanja
engleski
Functional inequalities for superquadratic functions
Using some characterizations of superquadratic function we obtain a sequence of inequalities for linear isotonic functionals and superquadratic functions which is analogous to the classical inequalities such as Jensen's, its converse, Slater's, Holder's, Popoviciu's and Minkowski's inequalities. If the considered function is convex at the same time, we get refinements of the well-known classical inequalities.
convex functions; Holder's inequality; Jensen's inequality; linear isotonic functional; Minkowski's inequality; Popoviciu's inequality; superquadratic functions
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