Pregled bibliografske jedinice broj: 401167
Non--Euclidean versions of some classical triangle inequalities
Non--Euclidean versions of some classical triangle inequalities // Forum geometricorum, 12 (2012), 197-209 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 401167 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Non--Euclidean versions of some classical triangle inequalities
Autori
Svrtan, Dragutin ; Veljan, Darko
Izvornik
Forum geometricorum (1534-1178) 12
(2012);
197-209
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
hyperbolic Euler's inequality; Finsler--Hadwiger's inequality
Sažetak
\noindent {; ; ; ; \bf Abstract}; ; ; ; In this paper we recall and provide short proofs of some classical triangle inequalities and prove corresponding non- -Euclidean, i.e. spherical and hyperbolic versions of these inequalities. Among them are well known Euler's inequality, Rouch\' e's inequality (also called "fundamental triangle inequality"), Finsler--Hadwiger's inequality, isoperimetric inequality and others.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
037-0000000-2779 - Diskretna matematika i primjene (Svrtan, Dragutin, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- SCI-EXP, SSCI i/ili A&HCI
