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Improvements of the Giaccardi and the Petrović inequality and related Stolarsky type means


Pečarić, Josip; Perić, Jurica
Improvements of the Giaccardi and the Petrović inequality and related Stolarsky type means // Annals of the University of Craiova, Mathematics and Computer Science Series, 39 (2012), 1; 65-75 (međunarodna recenzija, članak, znanstveni)


Naslov
Improvements of the Giaccardi and the Petrović inequality and related Stolarsky type means

Autori
Pečarić, Josip ; Perić, Jurica

Izvornik
Annals of the University of Craiova, Mathematics and Computer Science Series (1223-6934) 39 (2012), 1; 65-75

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Giaccardi inequality; Petrović inequality; Cauchy type mean value theorems; n-exponential convexity; exponential convexity; Stolarsky type means

Sažetak
Improvements of the Giaccardi and the Petrović inequality are given. The notion of n-exponentially convex functions is introduced. An elegant method of producing n-exponentially convex and exponentially convex functions is applied using the Giaccardi and the Petrović differences. Cauchy mean value theorems are proved and shown to be useful in studying Stolarsky type means defined by using the Giaccardi and the Petrović differences.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
117-1170889-0888 - Generalne nejednakosti i primjene (Josip Pečarić, )
177-1170889-1287 - Konveksne funkcije i primjene (Marko Matić, )

Ustanove
Tekstilno-tehnološki fakultet, Zagreb,
Prirodoslovno-matematički fakultet, Split