Reverses of the Jensen-type inequalities for signed measures (CROSBI ID 612203)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
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