Pregled bibliografske jedinice broj: 839482
Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite's polynomial and majorization theorem
Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite's polynomial and majorization theorem // Advanes in Mathematis: Scientific Journal, 5 (2016), 2; 191-209 (međunarodna recenzija, članak, znanstveni)
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Naslov
Generalization of Jensen's and Jensen- Steffensen's inequalities and their converses by Hermite's polynomial and majorization theorem
Autori
Aras-Gazić, Gorana ; Pečarić, Josip ; Vukelić, Ana
Izvornik
Advanes in Mathematis: Scientific Journal (1857-8365) 5
(2016), 2;
191-209
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Majorization ; Green function ; Jensen inequality ; Jensen-Steffensen inequality ; Hermite interpolating polynomial ; $n$-convex function ; \v{; ; ; C}; ; ; eby\v{; ; ; s}; ; ; ev functional ; Gr{; ; ; \
Sažetak
In this paper, using majorization theorems and Hermite's interpolating polynomials we obtain results concerning Jensen's and Jensen- Steffensen's inequalities and their converses in both the integral and the discrete case. We give bounds for identities related to these inequalities by using \v{; ; ; C}; ; ; eby\v{; ; ; s}; ; ; ev functionals. We also give Gr{; ; ; \"u}; ; ; ss type inequalities and Ostrowsky type inequalities for these functionals.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Arhitektonski fakultet, Zagreb,
Prehrambeno-biotehnološki fakultet, Zagreb,
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
