Pregled bibliografske jedinice broj: 591959
Improvement of an extension of Holder-type inequality
Improvement of an extension of Holder-type inequality // The International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications - Program and Abstracts
Chinju, Republika Koreja, 2012. str. 69-70 (pozvano predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 591959 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Improvement of an extension of Holder-type inequality
Autori
Pečarić, Josip ; Smoljak, Ksenija
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
The International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications - Program and Abstracts
/ - , 2012, 69-70
Skup
The International Conference on Mathematical Inequalities and Nonlinear Functional Analysis with Applications, July 25-29, 2012, Gyeongsang National University, Jinju, Korea
Mjesto i datum
Chinju, Republika Koreja, 25.07.2012. - 29.07.2012
Vrsta sudjelovanja
Pozvano predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Holder inequality; Steffensen inequality; exponential convexity; logarithmic convexity; Cauchy means
Sažetak
In 1995 Pearce and Pečarić proved an extension of Holder-type inequality using generalization of Steffensen's inequality given by Mitrinović and Pečarić in 1988. We define functionals related to that extension and prove their n-exponential, exponential and logarithmic convexity. Moreover, we improve that extension using logarithmic convexity of defined functionals. Furthermore, we define new Cauchy-type means and prove their monotonicity property.
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
