Naslov
Improved Jensen-type inequalities via linear interpolation and applications

Autori
Choi, Daeshik ; Krnić, Mario ; Pečarić, Josip

Izvornik
Journal of Mathematical Inequalities (1846-579X) 11 (2017), 2; 301-322

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
convex function ; Jensen inequality ; Young inequality ; Kantorovich constant ; Specht ratio ; arithmetic mean ; geometric mean ; Heinz mean

Sažetak
In this paper we develop a general method for improving Jensen-type inequalities for convex and, even more generally, for piecewise convex functions. Our main result relies on the linear interpolation of a convex function. As a consequence, we obtain improvements of some recently established Young-type inequalities. Finally, our method is also applied to matrix case. In such a way we obtain improvements of some important matrix inequalities known from the literature.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA