Refinements of the Lower Bounds of the Jensen Functional
The lower bounds of the functional defined as the difference of the right-hand and the left-hand side of the Jensen inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are cons...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/924319 |
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| _version_ | 1832564258792013824 |
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| author | Iva Franjić Sadia Khalid Josip Pečarić |
| author_facet | Iva Franjić Sadia Khalid Josip Pečarić |
| author_sort | Iva Franjić |
| collection | DOAJ |
| description | The lower bounds of the functional defined as the difference of the right-hand and the left-hand side of the Jensen
inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are considered. |
| format | Article |
| id | doaj-art-4f983670fdee4df1808186e852628e16 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-4f983670fdee4df1808186e852628e162025-02-03T01:11:23ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/924319924319Refinements of the Lower Bounds of the Jensen FunctionalIva Franjić0Sadia Khalid1Josip Pečarić2Faculty of Food Technology and Biotechnology, University of Zagreb, Pierottijeva 6, 10000 Zagreb, CroatiaAbdus Salam School of Mathematical Sciences, GC University, 68-B, New Muslim Town, Lahore 54600, PakistanAbdus Salam School of Mathematical Sciences, GC University, 68-B, New Muslim Town, Lahore 54600, PakistanThe lower bounds of the functional defined as the difference of the right-hand and the left-hand side of the Jensen inequality are studied. Refinements of some previously known results are given by applying results from the theory of majorization. Furthermore, some interesting special cases are considered.http://dx.doi.org/10.1155/2011/924319 |
| spellingShingle | Iva Franjić Sadia Khalid Josip Pečarić Refinements of the Lower Bounds of the Jensen Functional Abstract and Applied Analysis |
| title | Refinements of the Lower Bounds of the Jensen Functional |
| title_full | Refinements of the Lower Bounds of the Jensen Functional |
| title_fullStr | Refinements of the Lower Bounds of the Jensen Functional |
| title_full_unstemmed | Refinements of the Lower Bounds of the Jensen Functional |
| title_short | Refinements of the Lower Bounds of the Jensen Functional |
| title_sort | refinements of the lower bounds of the jensen functional |
| url | http://dx.doi.org/10.1155/2011/924319 |
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