Pregled bibliografske jedinice broj: 628362
Stolarsky-type means related to generalizations of Steffensen's and Gauss' inequality
Stolarsky-type means related to generalizations of Steffensen's and Gauss' inequality // Acta mathematica Vietnamica, 39 (2014), 3; 347-358 (međunarodna recenzija, članak, znanstveni)
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Naslov
Stolarsky-type means related to generalizations of Steffensen's and Gauss' inequality
Autori
Pečarić, Josip ; Smoljak, Ksenija
Izvornik
Acta mathematica Vietnamica (0251-4184) 39
(2014), 3;
347-358
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Steffensen inequality; Gauss inequality; monotone function; Stolarsky-type means; exponential convexity
Sažetak
In this paper, functionals defined as the difference between the left-hand and the right-hand sides of generalizations of Steffensen’s and Gauss’ inequality are studied. n-exponential and exponential as well as logarithmic convex functions related to defined functionals are produced. Furthermore, several families of exponentially convex functions are investigated, and new Stolarsky-type means related to defined functionals are generated.
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
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Emerging Sources Citation Index (ESCI)
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet