Naslov
Estimating an Enlargement of one reversed Jensen's Inequality

Autori
Ivanković, Božidar

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
Mathematical Inequalities and Applications 2014

Mjesto i datum
Trogir, Hrvatska, 22.06.2014. - 26.06.2014

Vrsta sudjelovanja
Poster

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Jensen inequality; Diaz-Metcalf inequality; McShane's generalization

Sažetak
In [1] authors gave an extension of Diaz- Metcalf ’s inequality for concave functions. Authors in [3] have obtained its restatement in the shape of an reversed Jensen’s inequality for a concave function of two variables. In [2], the sequence of inequalities which includes McShane’s generalization of Jensen’s inequality for normalized isotonic positive linear functional and convex (concave) function defined on a rectangle is provided. As natural enralgement, we have considered the concave function of three bounded variables defined on a parallelepiped and estimate the reverse McShane type inequality fornormalized isotonic positive linear functional.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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