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Reverses of the Jensen-type inequalities for signed measures (CROSBI ID 612203)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Jakšić, Rozarija ; Pečarić, Josip ; Rodić Lipanović, Mirna Reverses of the Jensen-type inequalities for signed measures // Mathematical Inequalities and Applications 2014 / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja (ur.). Zagreb: Element, 2014. str. 59-59

Podaci o odgovornosti

Jakšić, Rozarija ; Pečarić, Josip ; Rodić Lipanović, Mirna

engleski

Reverses of the Jensen-type inequalities for signed measures

In this work we derive refinements of the Jensen-type inequalities in the case of real Stieltjes measure $d\lambda$, not necessarily positive, which are generalizations of Jensen's inequality and it's reverses for positive measures. Furthermore, we investigate the exponential and logarithmic convexity of the difference between the left-hand and the right-hand side of these inequalities and give several examples of the families of functions for which the obtained results can be applied. The outcome is a new class of Cauchy-type means.

Green function; Jensen inequality; converse of the Jensen inequality; mean value theorems; $n-$exponential convexity; exponential convexity; log-convexity; means

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Podaci o prilogu

59-59.

2014.

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objavljeno

Podaci o matičnoj publikaciji

Mathematical Inequalities and Applications 2014

Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja

Zagreb: Element

Podaci o skupu

Mathematical Inequalities and Applications 2014

predavanje

22.06.2014-26.06.2014

Trogir, Hrvatska

Povezanost rada

Matematika