The dual affine log-Minkowski inequality
UDC 517.98, 514.17 We deduce an affine dual log-Minkowski inequality by introducing two new concepts of dual affine measure and Orlicz dual affine measure and using the newly established Orlicz dual affine Minkowski inequality. In a special case, the Orlicz affine dual log-Minkowski inequality yiel...
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| Date: | 2026 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/9382 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860956093264429056 |
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| author | Zhao, Chang-Jian Zhao, Chang-Jian |
| author_facet | Zhao, Chang-Jian Zhao, Chang-Jian |
| author_sort | Zhao, Chang-Jian |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-28T20:30:15Z |
| description | UDC 517.98, 514.17
We deduce an affine dual log-Minkowski inequality by introducing two new concepts of dual affine measure and Orlicz dual affine measure and using the newly established Orlicz dual affine Minkowski inequality. In a special case, the Orlicz affine dual log-Minkowski inequality yields the $L_{p}$-affine dual log-Minkowski inequality. The affine dual log-Minkowski inequality is also obtained. |
| doi_str_mv | 10.3842/umzh.v78i3-4.9382 |
| first_indexed | 2026-03-29T01:00:29Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-9382 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-29T01:00:29Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-93822026-03-28T20:30:15Z The dual affine log-Minkowski inequality The dual affine log-Minkowski inequality Zhao, Chang-Jian Zhao, Chang-Jian dual affine quermassintegral, Orlicz dual affine quermassintegral, log-Minkowski inequality, dual affine quermassintegral, Orlicz dual affine quermassintegral, log-Minkowski inequality, log-dual Minkowski inequality, Orlicz affine dual Minkowski inequality. 46E30 52A20 UDC 517.98, 514.17 We deduce an affine dual log-Minkowski inequality by introducing two new concepts of dual affine measure and Orlicz dual affine measure and using the newly established Orlicz dual affine Minkowski inequality. In a special case, the Orlicz affine dual log-Minkowski inequality yields the $L_{p}$-affine dual log-Minkowski inequality. The affine dual log-Minkowski inequality is also obtained. УДК 517.98, 514.17 Двоїста афінна логарифмічна нерівність Мінковського Доведено нову афінну подвійно-логарифмічну нерівність Мінковського на основі введених понять подвійної афінної та орліцької подвійної афінної мір і нової орліцької подвійної афінної нерівності Мінковського. З неї як наслідок випливає $L_{p}$-афінний аналог. Також виведено афінну подвійно-логарифмічну нерівність Мінковського. Institute of Mathematics, NAS of Ukraine 2026-03-28 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/9382 10.3842/umzh.v78i3-4.9382 Ukrains’kyi Matematychnyi Zhurnal; Vol. 78 No. 3-4 (2026); 213 Український математичний журнал; Том 78 № 3-4 (2026); 213 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/9382/10638 Copyright (c) 2026 Chang-Jian Zhao |
| spellingShingle | Zhao, Chang-Jian Zhao, Chang-Jian The dual affine log-Minkowski inequality |
| title | The dual affine log-Minkowski inequality |
| title_alt | The dual affine log-Minkowski inequality |
| title_full | The dual affine log-Minkowski inequality |
| title_fullStr | The dual affine log-Minkowski inequality |
| title_full_unstemmed | The dual affine log-Minkowski inequality |
| title_short | The dual affine log-Minkowski inequality |
| title_sort | dual affine log-minkowski inequality |
| topic_facet | dual affine quermassintegral Orlicz dual affine quermassintegral log-Minkowski inequality, dual affine quermassintegral Orlicz dual affine quermassintegral log-Minkowski inequality log-dual Minkowski inequality Orlicz affine dual Minkowski inequality. 46E30 52A20 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/9382 |
| work_keys_str_mv | AT zhaochangjian thedualaffinelogminkowskiinequality AT zhaochangjian thedualaffinelogminkowskiinequality AT zhaochangjian dualaffinelogminkowskiinequality AT zhaochangjian dualaffinelogminkowskiinequality |