An extension of Chebyshev's inequality and its connection with Jensen's inequality
<p/> <p>The aim of this paper is to show that Jensen's Inequality and an extension of Chebyshev's Inequality complement one another, so that they both can be formulated in a pairing form, including a second inequality, that provides an estimate for the classical one.</p>
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| Format: | Article |
| Language: | English |
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SpringerOpen
2001-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/6/408678 |
| _version_ | 1811337578785275904 |
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| author | Niculescu Constantinp P |
| author_facet | Niculescu Constantinp P |
| author_sort | Niculescu Constantinp P |
| collection | DOAJ |
| description | <p/> <p>The aim of this paper is to show that Jensen's Inequality and an extension of Chebyshev's Inequality complement one another, so that they both can be formulated in a pairing form, including a second inequality, that provides an estimate for the classical one.</p> |
| first_indexed | 2024-04-13T17:57:05Z |
| format | Article |
| id | doaj.art-7cd9b6c1c50a4ab283dd3f1f38cbe18f |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-04-13T17:57:05Z |
| publishDate | 2001-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-7cd9b6c1c50a4ab283dd3f1f38cbe18f2022-12-22T02:36:26ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2001-01-0120014408678An extension of Chebyshev's inequality and its connection with Jensen's inequalityNiculescu Constantinp P<p/> <p>The aim of this paper is to show that Jensen's Inequality and an extension of Chebyshev's Inequality complement one another, so that they both can be formulated in a pairing form, including a second inequality, that provides an estimate for the classical one.</p>http://www.journalofinequalitiesandapplications.com/content/6/408678Convex functionsSubdifferentialMean value |
| spellingShingle | Niculescu Constantinp P An extension of Chebyshev's inequality and its connection with Jensen's inequality Journal of Inequalities and Applications Convex functions Subdifferential Mean value |
| title | An extension of Chebyshev's inequality and its connection with Jensen's inequality |
| title_full | An extension of Chebyshev's inequality and its connection with Jensen's inequality |
| title_fullStr | An extension of Chebyshev's inequality and its connection with Jensen's inequality |
| title_full_unstemmed | An extension of Chebyshev's inequality and its connection with Jensen's inequality |
| title_short | An extension of Chebyshev's inequality and its connection with Jensen's inequality |
| title_sort | extension of chebyshev s inequality and its connection with jensen s inequality |
| topic | Convex functions Subdifferential Mean value |
| url | http://www.journalofinequalitiesandapplications.com/content/6/408678 |
| work_keys_str_mv | AT niculescuconstantinpp anextensionofchebyshevsinequalityanditsconnectionwithjensensinequality AT niculescuconstantinpp extensionofchebyshevsinequalityanditsconnectionwithjensensinequality |