Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite polynomials and majorization theorem (CROSBI ID 629781)
Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Aras-Gazić, Gorana ; Pečarić, Josip ; Vukelić, Ana
engleski
Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite polynomials and majorization theorem
In this paper, using majorization theorems, Hermite's interpolating polynomials and conditions on Green's function we obtain results concerning Jensen's and Jensen- Steffensen's inequalities and their converses in both the integral and the discrete case. We use these generalizations to construct a linear functional and we present mean value theorems and n-exponential convexity which leads to exponential convexity and then log-convexity for these functionals. We give some families of functions which enable us to construct a large families of functions that are exponentially convex and also give Stolarsky type means with their monotonicity.
Majorization ; Green function ; Jensen inequality ; Jensen-Steffensen inequality ; n-convex function ; Hermite interpolating polynomial ; Cauchy type mean value theorems ; n-exponential convexity ; exponential convexity ; log-convexity ; means
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Podaci o prilogu
21-21.
2015.
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objavljeno
Podaci o matičnoj publikaciji
Book of Abstracts of the conference Mathematical Inequalities and Applications 2015
Andrić, Maja ; Tipurić-Spužević, Sanja ; Varošanec, Sanja
Mostar: Faculty of Science and Education, University of Mostar
Podaci o skupu
Conference Mathematical Inequalities and Applications 2015
predavanje
11.11.2015-15.11.2015
Mostar, Bosna i Hercegovina