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Generalization of Jensen's inequality by Euler's identity and related results (CROSBI ID 636681)

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

Aras-Gazić, Gorana ; Pečarić, Josip ; Vukelić, Ana Generalization of Jensen's inequality by Euler's identity and related results // 6th Croatian Mathematical Congress. Zagreb, 2016. str. 3-4

Podaci o odgovornosti

Aras-Gazić, Gorana ; Pečarić, Josip ; Vukelić, Ana

engleski

Generalization of Jensen's inequality by Euler's identity and related results

In this paper we consider n-convex functions. Using Euler's identity, the result concerning for Jensen's inequality and converses of Jensen's inequality for signed measure are presented. As a consequence, also the results concering to the Hermite-Hadamard inequalities are presented. Using these inequalities, we produce new exponentially convex functions. Finally, we give several examples of the families of functions for which the obtained results can be applied.

Bernoulli polynomials ; Bernoulli numbers ; Euler identity ; Jensen inequality ; n-convex function ; Cauchy type mean value theorems ; n-exponential convexity ; exponential convexity ; log-convexity ; means

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Podaci o prilogu

3-4.

2016.

objavljeno

Podaci o matičnoj publikaciji

6th Croatian Mathematical Congress

Zagreb:

Podaci o skupu

6th Croatian mathematical congress

poster

14.06.2016-17.06.2016

Zagreb, Hrvatska

Povezanost rada

Matematika