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Pregled bibliografske jedinice broj: 325367

Časopis

Autori: Banić, Senka; Pečarić, Josip; Varošanec, Sanja
Naslov: Superquadratic functions and refinements of some classical inequalities
( Superquadratic functions and refinements of some classical inequalities )
Izvornik: Journal of the Korean Mathematical Society (0304-9914) 45 (2008), 2; 513-525
Vrsta rada: članak
Ključne riječi: convex function; Giaccardi's inequality; Hermite-Hadamard's inequality; Jensen's inequality; superquadratic function; sum of power p
( convex function; Giaccardi's inequality; Hermite-Hadamard's inequality; Jensen's inequality; superquadratic function; sum of power p )
Sažetak:
Using known properties of superquadratic functions we obtain a sequence of inequalities for superquadratic functions such as the convers and the reverse Jensentype inequalities, Giaccardi's nad Petrović's inequality and Hermite-Hadamard inequality. Especially, when the superquadratic function is convex at the same time, then we get refinements of classical known results for convex functions. Some other properties of superquadratic functions are also given.
Projekt / tema: 117-1170889-0888, 177-1170889-1287, 058-1170889-1050
Izvorni jezik: eng
Rad je indeksiran u
bazama podataka:
Scopus
SCI-EXP, SSCI i/ili A&HCI
Science Citation Index Expanded (SCI-EXP) (sastavni dio Web of Science Core Collectiona)
Kategorija: Znanstveni
Znanstvena područja:
Matematika
URL cjelovitog teksta:
Google Scholar: Superquadratic functions and refinements of some classical inequalities
Upisao u CROSBI: Sanja Varošanec (varosans@math.hr), 14. Ožu. 2008. u 14:44 sati



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