Pregled bibliografske jedinice broj: 714560
Improvements of Jensen-Type Inequalities for Diamond-\alpha Integrals
Improvements of Jensen-Type Inequalities for Diamond-\alpha Integrals // International Scholarly Research Notices, 2014 (2014), 580605-1 doi:10.1155/2014/580605 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 714560 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Improvements of Jensen-Type Inequalities for Diamond-\alpha Integrals
Autori
Bibi, Rabia ; Pečarić, Josip ; Rodić Lipanović, Mirna
Izvornik
International Scholarly Research Notices (2356-7872) 2014
(2014);
580605-1
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Time-scales; Jensen inequality; exponential convexity; logarithmic convexity
Sažetak
We give further improvements of the Jensen inequality and its converse on time scales, allowing also negative weights. These results generalize the Jensen inequality and its converse for both discrete and continuous cases. Further, we investigate the exponential and logarithmic convexity of the differences between the left-hand side and the right-hand side of these inequalities and present several families of functions for which these results can be applied.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Citiraj ovu publikaciju:
Uključenost u ostale bibliografske baze podataka::
- Zentrallblatt für Mathematik/Mathematical Abstracts
