Pregled bibliografske jedinice broj: 712652
Two inequalities and two means
Two inequalities and two means // Journal of Advances in Mathematics, 9 (2014), 1; 1714-1723 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 712652 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Two inequalities and two means
Autori
Pavić, Zlatko
Izvornik
Journal of Advances in Mathematics (2347-1921) 9
(2014), 1;
1714-1723
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Jensen's inequality ; Hermite-Hadamard's inequality ; power means ; generalized logarithmic means
Sažetak
The paper presents geometric derivations of Jensen's and Hermite-Hadamard's inequality. Jensen's inequality is further involved to a concept of quasi-arithmetic means. Hermite-Hadamard's inequality is applied to compare the basic quasi-arithmetic means, power and logarithmic means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
