Improvement of Jensen's inequality for superquadratic functions (CROSBI ID 163341)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Abramovich, Shoshana ; Ivanković, Božidar ; Pečarić, Josip
engleski
Improvement of Jensen's inequality for superquadratic functions
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.
Convex functions; Jensen's inequality; Superquadratic functions
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Podaci o izdanju
7 (1)
2010.
1-15
objavljeno
1449-5910