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Functional inequalities for superquadratic functions (CROSBI ID 137624)

Prilog u časopisu | izvorni znanstveni rad

Banić, Senka ; Varošanec, Sanja Functional inequalities for superquadratic functions // International journal of pure and applied mathematics, 43 (2008), 4; 537-549

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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Podaci o izdanju

43 (4)

2008.

537-549

objavljeno

1311-8080

Povezanost rada

Matematika