New Hermite-Hadamard Type Inequalities for n-Times Differentiable and s-Logarithmically Preinvex Functions
The concept of s-logarithmically preinvex function is introduced, and by creating an integral identity involving an n-times differentiable function, some new Hermite-Hadamard type inequalities for s-logarithmically preinvex functions are established.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/725987 |
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| _version_ | 1832566817989591040 |
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| author | Shuhong Wang Ximin Liu |
| author_facet | Shuhong Wang Ximin Liu |
| author_sort | Shuhong Wang |
| collection | DOAJ |
| description | The concept of s-logarithmically preinvex function is introduced, and by creating an integral identity involving an n-times differentiable function, some new Hermite-Hadamard type inequalities for s-logarithmically preinvex functions are established. |
| format | Article |
| id | doaj-art-5f2bcefa3f87431fa5300a9d640a2290 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5f2bcefa3f87431fa5300a9d640a22902025-02-03T01:03:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/725987725987New Hermite-Hadamard Type Inequalities for n-Times Differentiable and s-Logarithmically Preinvex FunctionsShuhong Wang0Ximin Liu1School of Mathematical Sciences, Dalian University of Technology, Dalian 11602, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 11602, ChinaThe concept of s-logarithmically preinvex function is introduced, and by creating an integral identity involving an n-times differentiable function, some new Hermite-Hadamard type inequalities for s-logarithmically preinvex functions are established.http://dx.doi.org/10.1155/2014/725987 |
| spellingShingle | Shuhong Wang Ximin Liu New Hermite-Hadamard Type Inequalities for n-Times Differentiable and s-Logarithmically Preinvex Functions Abstract and Applied Analysis |
| title | New Hermite-Hadamard Type Inequalities for n-Times Differentiable and s-Logarithmically Preinvex Functions |
| title_full | New Hermite-Hadamard Type Inequalities for n-Times Differentiable and s-Logarithmically Preinvex Functions |
| title_fullStr | New Hermite-Hadamard Type Inequalities for n-Times Differentiable and s-Logarithmically Preinvex Functions |
| title_full_unstemmed | New Hermite-Hadamard Type Inequalities for n-Times Differentiable and s-Logarithmically Preinvex Functions |
| title_short | New Hermite-Hadamard Type Inequalities for n-Times Differentiable and s-Logarithmically Preinvex Functions |
| title_sort | new hermite hadamard type inequalities for n times differentiable and s logarithmically preinvex functions |
| url | http://dx.doi.org/10.1155/2014/725987 |
| work_keys_str_mv | AT shuhongwang newhermitehadamardtypeinequalitiesforntimesdifferentiableandslogarithmicallypreinvexfunctions AT ximinliu newhermitehadamardtypeinequalitiesforntimesdifferentiableandslogarithmicallypreinvexfunctions |