Pregled bibliografske jedinice broj: 822443
Generalization of Jensen's inequality by Euler's identity and related results
Generalization of Jensen's inequality by Euler's identity and related results // 6th Croatian Mathematical Congress
Zagreb, 2016. str. 3-4 (poster, međunarodna recenzija, sažetak, znanstveni)
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Naslov
Generalization of Jensen's inequality by Euler's identity and related results
Autori
Aras-Gazić, Gorana ; Pečarić, Josip ; Vukelić, Ana
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
6th Croatian Mathematical Congress
/ - Zagreb, 2016, 3-4
Skup
6th Croatian Mathematical Congress
Mjesto i datum
Zagreb, Hrvatska, 14.06.2016. - 17.06.2016
Vrsta sudjelovanja
Poster
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Bernoulli polynomials ; Bernoulli numbers ; Euler identity ; Jensen inequality ; n-convex function ; Cauchy type mean value theorems ; n-exponential convexity ; exponential convexity ; log-convexity ; means
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Arhitektonski fakultet, Zagreb
