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- Publisher Website: 10.1007/s00574-019-00159-8
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Article: Generalizations of Popoviciu’s and Bellman’s Inequalities
| Title | Generalizations of Popoviciu’s and Bellman’s Inequalities |
|---|---|
| Authors | |
| Keywords | Aczél’s inequality Bellman’s inequality Dual Minkowski inequality Popoviciu’s inequality |
| Issue Date | 2020 |
| Publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00574/index.htm |
| Citation | Bulletin of the Brazilian Mathematical Society, 2020, v. 51, p. 417-428 How to Cite? |
| Abstract | In the paper, we generalize the well-known Bellman’s and Popoviciu’s inequalities, and get new Bellman’s and Popoviciu’s type inequalities. These new results provide new estimates on inequalities of these type. As application, we establish a Minkowski inequality, which in special case yields the well-known dual Minkowski inequality for volumes difference. |
| Persistent Identifier | http://hdl.handle.net/10722/272696 |
| ISSN | 2021 Impact Factor: 1.246 2020 SCImago Journal Rankings: 0.395 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Zhao, CJ | - |
| dc.contributor.author | Cheung, WS | - |
| dc.date.accessioned | 2019-08-06T09:14:49Z | - |
| dc.date.available | 2019-08-06T09:14:49Z | - |
| dc.date.issued | 2020 | - |
| dc.identifier.citation | Bulletin of the Brazilian Mathematical Society, 2020, v. 51, p. 417-428 | - |
| dc.identifier.issn | 1678-7544 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/272696 | - |
| dc.description.abstract | In the paper, we generalize the well-known Bellman’s and Popoviciu’s inequalities, and get new Bellman’s and Popoviciu’s type inequalities. These new results provide new estimates on inequalities of these type. As application, we establish a Minkowski inequality, which in special case yields the well-known dual Minkowski inequality for volumes difference. | - |
| dc.language | eng | - |
| dc.publisher | Springer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/00574/index.htm | - |
| dc.relation.ispartof | Bulletin of the Brazilian Mathematical Society | - |
| dc.rights | This is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. The final authenticated version is available online at: http://dx.doi.org/[insert DOI] | - |
| dc.subject | Aczél’s inequality | - |
| dc.subject | Bellman’s inequality | - |
| dc.subject | Dual Minkowski inequality | - |
| dc.subject | Popoviciu’s inequality | - |
| dc.title | Generalizations of Popoviciu’s and Bellman’s Inequalities | - |
| dc.type | Article | - |
| dc.identifier.email | Cheung, WS: wscheung@hku.hk | - |
| dc.identifier.authority | Cheung, WS=rp00678 | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1007/s00574-019-00159-8 | - |
| dc.identifier.scopus | eid_2-s2.0-85068962730 | - |
| dc.identifier.hkuros | 300306 | - |
| dc.identifier.volume | 51 | - |
| dc.identifier.spage | 417 | - |
| dc.identifier.epage | 428 | - |
| dc.identifier.isi | WOS:000530547800005 | - |
| dc.publisher.place | Germany | - |
| dc.identifier.issnl | 1678-7544 | - |