Pregled bibliografske jedinice broj: 766800
Generalizations of Steffensen's inequality via n weight functions
Generalizations of Steffensen's inequality via n weight functions // Matematički bilten, 38 (2014), 2; 31-51 (podatak o recenziji nije dostupan, članak, znanstveni)
CROSBI ID: 766800 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalizations of Steffensen's inequality via n weight functions
Autori
Aglić Aljinović, Andrea ; Pečarić, Josip ; Perušić Pribanić, Anamarija
Izvornik
Matematički bilten (0351-336X) 38
(2014), 2;
31-51
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steensen's inequality; Montgomery identity; n-exponentially convex function
(Steensen's inequality; Montgomery identity; n-exponentially convex function.)
Sažetak
New generalizations of Steffensen's inequality are obtained by means of weighted Montgomery identity with n different weight functions. Instead for a nondecreasing (1-convex) function our generalization hold for a n-convex function. Further, functionals associated to these new generalizations are observed and used to generate n exponentially and exponentially convex functions as well as to obtain new Stolarsky type means related to these functionals.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
University of Rijeka 13.05.1.1.02.
HRZZ-IP-2013-11-5435 - Nejednakosti i primjene (INEQUALITIES) (Pečarić, Josip) ( CroRIS)
Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb,
Građevinski fakultet, Rijeka,
Tekstilno-tehnološki fakultet, Zagreb
