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Pregled bibliografske jedinice broj: 327310

Časopis

Autori: Banić, Senka; Varošanec, Sanja
Naslov: Functional inequalities for superquadratic functions
( Functional inequalities for superquadratic functions )
Izvornik: International journal of pure and applied mathematics (1311-8080) 43 (2008), 4; 537-549
Vrsta rada: članak
Ključne riječi: convex functions; Holder's inequality; Jensen's inequality; linear isotonic functional; Minkowski's inequality; Popoviciu's inequality; superquadratic functions
( convex functions; Holder's inequality; Jensen's inequality; linear isotonic functional; Minkowski's inequality; Popoviciu's inequality; superquadratic functions )
Sažetak:
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.
Projekt / tema: 177-1170889-1287, 058-1170889-1050
Izvorni jezik: eng
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL cjelovitog teksta:
Google Scholar: Functional inequalities for superquadratic functions
Upisao u CROSBI: Sanja Varošanec (varosans@math.hr), 2. Tra. 2008. u 11:54 sati



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