Pregled bibliografske jedinice broj: 697886
Generalization of Jensen's inequality by Euler's identity and related results
Generalization of Jensen's inequality by Euler's identity and related results // Advanced Studies in Contemporary Mathematics, 24 (2014), 2; 247-268 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 697886 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalization of Jensen's inequality by Euler's identity and related results
Autori
Aras-Gazić, Gorana ; Pečarić, Josip ; Vukelić, Ana
Izvornik
Advanced Studies in Contemporary Mathematics (1229-3067) 24
(2014), 2;
247-268
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Bernoulli polynomials ; Bernoulli numbers ; Euler identity ; Jensen inequality ; Hermite-Hadamard 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 concerning 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
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Arhitektonski fakultet, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
