Pregled bibliografske jedinice broj: 670041
Generalization of Jensen's inequality by Lidstone's polynomial and related results
Generalization of Jensen's inequality by Lidstone's polynomial and related results // Mathematical inequalities & applications, 16 (2013), 4; 1243-1267 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalization of Jensen's inequality by Lidstone's polynomial and related results
Autori
Aras-Gazić, Gorana ; Čuljak, Vera ; Pečarić, Josip ; Vukelić, Ana
Izvornik
Mathematical inequalities & applications (1331-4343) 16
(2013), 4;
1243-1267
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Green function ; Jensen inequality ; (2n)-convex function ; completely convex function ; Lidstone polynomial ; Cauchy type mean value theorems ; n-exponential convexity ; exponential convexity ; log-convexity ; means
Sažetak
In this paper we consider (2n)-convex functions and completely convex functions. Using Lidstone's interpolating polynomials and conditions on Green's functions we present results for Jensen's inequality and converses of Jensen's inequality for signed measure. By using the obtained 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,
Građevinski fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
