Pregled bibliografske jedinice broj: 513803
Note on an inequality of Gauss
Note on an inequality of Gauss // Journal of Mathematical Inequalities, 5 (2011), 2; 199-211 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 513803 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Note on an inequality of Gauss
Autori
Pečarić, Josip ; Smoljak, Ksenija
Izvornik
Journal of Mathematical Inequalities (1846-579X) 5
(2011), 2;
199-211
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Gauss inequality; mean value theorems; exponential convexity; means
Sažetak
In this paper a functional defined as the difference between the left-hand and the right-hand side of an extension of the Gauss inequality given in [H. Alzer, On an inequality of Gauss, Rev. Mat. Complut. 4(2) (1991), 179–183.] is studied. Related analogous of the Lagrange and the Cauchy mean value theorems are obtained. Furthermore, Gauss means are generated and their monotonicity property is proven.
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:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
- Zentrallblatt für Mathematik/Mathematical Abstracts
- Referativnyi Zhurnal – Matematika
