Pregled bibliografske jedinice broj: 686183
Functional and operator variants of Jensen's, chord's, and Mercer's inequality
Functional and operator variants of Jensen's, chord's, and Mercer's inequality // Journal of Advances in Mathematics, 3 (2013), 2; 168-178 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 686183 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Functional and operator variants of Jensen's, chord's, and Mercer's inequality
Autori
Pavić, Zlatko
Izvornik
Journal of Advances in Mathematics (2347-1921) 3
(2013), 2;
168-178
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
convex combination ; convex function ; Jensen's inequality ; functional convex combination ; operator convex combination
Sažetak
The paper examines functional and operator variants of Jensen's, chord's, and Mercer's inequality with a convex function on the interval of real numbers. In this research we relied on general functional and operator forms of Jensen's inequality. Among others, corresponding means are also observed. The inequalities for operators are observed without operator convexity.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
