Pregled bibliografske jedinice broj: 702545
Generalizations of Steffensen type inequalities involving convex functions
Generalizations of Steffensen type inequalities involving convex functions // Book of Abstracts of the Conference Mathematical Inequalities and Applications 2014 / Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja (ur.).
Zagreb: Element, 2014. str. 67-67 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 702545 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalizations of Steffensen type inequalities involving convex functions
Autori
Pečarić, Josip ; Smoljak Kalamir, Ksenija
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Book of Abstracts of the Conference Mathematical Inequalities and Applications 2014
/ Andrić, Maja ; Klaričić Bakula, Milica ; Varošanec, Sanja - Zagreb : Element, 2014, 67-67
Skup
Mathematical Inequalities and Applications 2014, One thousand papers conference
Mjesto i datum
Trogir, Hrvatska, 22.06.2014. - 26.06.2014
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Steffensen's inequality; generalizations; convex functions
Sažetak
Using generalization of Steffensen's inequality obtained by Pečarić in 1982 we derive generalized Steffensen type inequalities related to the class of functions that are "convex at point c" and as a consequence we obtain inequalities involving the class of convex functions. Furthermore, we construct linear functionals from the difference of the right- and left-hand side of obtained generalized inequalities and derive new families of exponentially convex functions related to constructed functionals.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Tekstilno-tehnološki fakultet, Zagreb
Profili:
Ksenija Smoljak Kalamir
(autor)
