Naslov
Improvement of Jensen's inequality for superquadratic functions

Autori
Abramovich, Shoshana ; Ivanković, Božidar ; Pečarić, Josip

Izvornik
The Australian journal of mathematical analysis and applications (1449-5910) 7 (2010), 1; 1-15

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

Ključne riječi
Convex functions; Jensen's inequality; Superquadratic functions

Sažetak
Since 1907, the famous Jensen's inequality has been refined in different manners. In our paper, we refine it applying superquadratic functions and separations of domains for convex functions. There are convex functions which are not superquadratic and superquadratic functions which are not convex. For superquadratic functions which are not convex we get inequalities analogue to inequalities satisfied by convex functions. For superquadratic functions which are convex (including many useful functions) we get refinements of Jensen's inequality and its extensions.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
Article 14

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