Some counterpart inequalities for a functional associated with Jensen's inequality
<p/> <p>We derive several inequalities for a functional connected with the well-known Jensen inequality on <inline-formula><graphic file="1029-242X-1997-107592-i1.gif"/></inline-formula>. Some applications for arithmetic and geometric means, and for the entrop...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
1997-01-01
|
| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/1/107592 |
| _version_ | 1828194065053646848 |
|---|---|
| author | Goh CJ Dragomir SS |
| author_facet | Goh CJ Dragomir SS |
| author_sort | Goh CJ |
| collection | DOAJ |
| description | <p/> <p>We derive several inequalities for a functional connected with the well-known Jensen inequality on <inline-formula><graphic file="1029-242X-1997-107592-i1.gif"/></inline-formula>. Some applications for arithmetic and geometric means, and for the entropy mapping in information theory are also discussed.</p> |
| first_indexed | 2024-04-12T09:19:16Z |
| format | Article |
| id | doaj.art-595532800ea845fa9a1dd4309952dc6f |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-12T09:19:16Z |
| publishDate | 1997-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-595532800ea845fa9a1dd4309952dc6f2022-12-22T03:38:43ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X1997-01-0119974107592Some counterpart inequalities for a functional associated with Jensen's inequalityGoh CJDragomir SS<p/> <p>We derive several inequalities for a functional connected with the well-known Jensen inequality on <inline-formula><graphic file="1029-242X-1997-107592-i1.gif"/></inline-formula>. Some applications for arithmetic and geometric means, and for the entropy mapping in information theory are also discussed.</p>http://www.journalofinequalitiesandapplications.com/content/1/107592Jensen's inequalityentropy functionsuperadditivitymonotonicityarithmetic and geometric means |
| spellingShingle | Goh CJ Dragomir SS Some counterpart inequalities for a functional associated with Jensen's inequality Journal of Inequalities and Applications Jensen's inequality entropy function superadditivity monotonicity arithmetic and geometric means |
| title | Some counterpart inequalities for a functional associated with Jensen's inequality |
| title_full | Some counterpart inequalities for a functional associated with Jensen's inequality |
| title_fullStr | Some counterpart inequalities for a functional associated with Jensen's inequality |
| title_full_unstemmed | Some counterpart inequalities for a functional associated with Jensen's inequality |
| title_short | Some counterpart inequalities for a functional associated with Jensen's inequality |
| title_sort | some counterpart inequalities for a functional associated with jensen s inequality |
| topic | Jensen's inequality entropy function superadditivity monotonicity arithmetic and geometric means |
| url | http://www.journalofinequalitiesandapplications.com/content/1/107592 |
| work_keys_str_mv | AT gohcj somecounterpartinequalitiesforafunctionalassociatedwithjensensinequality AT dragomirss somecounterpartinequalitiesforafunctionalassociatedwithjensensinequality |