Pregled bibliografske jedinice broj: 702425
Reverses of the Jensen-type inequalities for signed measures
Reverses of the Jensen-type inequalities for signed measures // Mathematical Inequalities and Applications 2014 / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja (ur.).
Zagreb: Element, 2014. str. 59-59 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 702425 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Reverses of the Jensen-type inequalities for signed measures
Autori
Jakšić, Rozarija ; Pečarić, Josip ; Rodić Lipanović, Mirna
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Mathematical Inequalities and Applications 2014
/ Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja - Zagreb : Element, 2014, 59-59
Skup
Mathematical Inequalities and Applications 2014
Mjesto i datum
Trogir, Hrvatska, 22.06.2014. - 26.06.2014
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Green function; Jensen inequality; converse of the Jensen inequality; mean value theorems; $n-$exponential convexity; exponential convexity; log-convexity; means
Sažetak
In this work we derive refinements of the Jensen-type inequalities in the case of real Stieltjes measure $d\lambda$, not necessarily positive, which are generalizations of Jensen's inequality and it's reverses for positive measures. Furthermore, we investigate the exponential and logarithmic convexity of the difference between the left-hand and the right-hand side of these inequalities and give several examples of the families of functions for which the obtained results can be applied. The outcome is a new class of Cauchy-type means.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
117-1170889-0888 - Generalne nejednakosti i primjene (Pečarić, Josip, MZOS ) ( CroRIS)
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
