On Isoperimetric Inequalities in Minkowski Spaces
<p/> <p>The purpose of this expository paper is to collect some (mainly recent) inequalities, conjectures, and open questions closely related to isoperimetric problems in real, finite-dimensional Banach spaces (= Minkowski spaces). We will also show that, in a way, Steiner symmetrization...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
|
| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/697954 |
| _version_ | 1818481042190761984 |
|---|---|
| author | Mustafaev Zokhrab Martini Horst |
| author_facet | Mustafaev Zokhrab Martini Horst |
| author_sort | Mustafaev Zokhrab |
| collection | DOAJ |
| description | <p/> <p>The purpose of this expository paper is to collect some (mainly recent) inequalities, conjectures, and open questions closely related to isoperimetric problems in real, finite-dimensional Banach spaces (= Minkowski spaces). We will also show that, in a way, Steiner symmetrization could be used as a useful tool to prove Petty's conjectured projection inequality.</p> |
| first_indexed | 2024-12-10T11:30:12Z |
| format | Article |
| id | doaj.art-c2f65defe087461880d662a9c969bbbc |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-10T11:30:12Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-c2f65defe087461880d662a9c969bbbc2022-12-22T01:50:37ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101697954On Isoperimetric Inequalities in Minkowski SpacesMustafaev ZokhrabMartini Horst<p/> <p>The purpose of this expository paper is to collect some (mainly recent) inequalities, conjectures, and open questions closely related to isoperimetric problems in real, finite-dimensional Banach spaces (= Minkowski spaces). We will also show that, in a way, Steiner symmetrization could be used as a useful tool to prove Petty's conjectured projection inequality.</p>http://www.journalofinequalitiesandapplications.com/content/2010/697954 |
| spellingShingle | Mustafaev Zokhrab Martini Horst On Isoperimetric Inequalities in Minkowski Spaces Journal of Inequalities and Applications |
| title | On Isoperimetric Inequalities in Minkowski Spaces |
| title_full | On Isoperimetric Inequalities in Minkowski Spaces |
| title_fullStr | On Isoperimetric Inequalities in Minkowski Spaces |
| title_full_unstemmed | On Isoperimetric Inequalities in Minkowski Spaces |
| title_short | On Isoperimetric Inequalities in Minkowski Spaces |
| title_sort | on isoperimetric inequalities in minkowski spaces |
| url | http://www.journalofinequalitiesandapplications.com/content/2010/697954 |
| work_keys_str_mv | AT mustafaevzokhrab onisoperimetricinequalitiesinminkowskispaces AT martinihorst onisoperimetricinequalitiesinminkowskispaces |