20.500.12556/DKUM-62274 Hadwiger-Finslerjeva neenakost v trikotniku Hadwiger-Finsler inequality in triangle V diplomskem delu sta dokazani osnovna in dodatna Hadwiger-Finslerjeva neenakost ter predstavljene nekatere njune posledice. Gre za niz neenakosti, ki veljajo za stranice, dolžine daljic in kote v trikotniku. Predstavljena je neenakost, sorodna Hadwiger-Finslerjevi neenakosti in obravnavan odnos med njima. V zaključnem poglavju je predstavljena geometrijska konstrukcija, na podlagi katere ustvarimo rekurzivno zaporedje trikotnikov. Z analizo kotov in stranic trikotnikov v tem zaporedju znova dokažemo osnovno Hadwiger-Finslerjevo neenakost. The thesis demonstrates basic and additional Hadwiger-Finsler inequality and presents some of their consequences. It is a set of inequalities, applied to the sides, the length of lines and angles in a triangle. We present inequality, related to Hadwiger-Finsler inequality and discuss the relationship between them. The conclusion presents the geometric structure on which we create recursive sequence of triangles. By analyzing the angles and sides of triangles respectively we again demonstrate basic Hadwiger-Finsler inequality. neenakosti v trikotniku Hadwiger-Finslerjeva neenakost Schurova neenakost Cauchy-Schwarzova neenakost neenakosti med sredinami inequalities in triangle Hadwiger-Finsler's inequality Schur's inequality Cauchy-Schwarz inequality inequalities between means true true false [S. Lesjak] Slovenski jezik Angleški jezik Diplomsko delo 2016-08-24 22:00:50 2016-11-11 15:11:26 2022-06-29 03:07:31 2019-07-11 12:49:52 2016 0 Maribor 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 514.112.3(043.2) 22723848 URN:SI:UM:DK:WRYMMJMO UN_Lesjak_Suzana_2016.pdf UN_Lesjak_Suzana_2016.pdf 1 DA631C5FB3748B39F14CC0FE4BC7745A 13dc21ece3923639f600bd61d7b7d4c85cadf0504806cf11ab288cde0d225cf7 1c87c873-7c0d-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=99919 Fakulteta za naravoslovje in matematiko 0 0 0