Hadwiger-Finslerjeva neenakost v trikotniku
diplomsko delo
Abstract
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.
Keywords
diplomska dela;neenakosti v trikotniku;Hadwiger-Finslerjeva neenakost;Schurova neenakost;Cauchy-Schwarzova neenakost;neenakosti med sredinami;
Data
| Language: | Slovenian |
|---|---|
| Year of publishing: | 2016 |
| Typology: | 2.11 - Undergraduate Thesis |
| Organization: | UM FNM - Faculty of Natural Sciences and Mathematics |
| Publisher: | [S. Lesjak] |
| UDC: | 514.112.3(043.2) |
| COBISS: |
22723848
|
| Views: | 941 |
| Downloads: | 56 |
| Average score: | 0 (0 votes) |
| Metadata: |
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Other data
| Secondary language: | English |
|---|---|
| Secondary title: | Hadwiger-Finsler inequality in triangle |
| Secondary abstract: | 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. |
| Secondary keywords: | theses;inequalities in triangle;Hadwiger-Finsler's inequality;Schur's inequality;Cauchy-Schwarz's inequality;inequalities between means; |
| URN: | URN:SI:UM: |
| Type (COBISS): | Undergraduate thesis |
| Thesis comment: | Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo |
| Pages: | 41 f. |
| ID: | 9162104 |
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