On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions
The authors introduce the concept of the s-geometrically convex functions. By the well-known Hölder inequality, they establish some integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions and apply these inequalities to special means.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/560586 |
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| _version_ | 1832551780421992448 |
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| author | Tian-Yu Zhang Ai-Ping Ji Feng Qi |
| author_facet | Tian-Yu Zhang Ai-Ping Ji Feng Qi |
| author_sort | Tian-Yu Zhang |
| collection | DOAJ |
| description | The authors introduce the concept of the s-geometrically convex functions. By the well-known Hölder inequality, they establish some integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions and apply these inequalities to special means. |
| format | Article |
| id | doaj-art-fb6f09574bb549ce8720a325ebbd7c38 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-fb6f09574bb549ce8720a325ebbd7c382025-02-03T06:00:33ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/560586560586On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex FunctionsTian-Yu Zhang0Ai-Ping Ji1Feng Qi2College of Mathematics, Inner Mongolia University for Nationalities, Inner Mongolia Autonomous Region, Tongliao City 028043, ChinaCollege of Mathematics, Inner Mongolia University for Nationalities, Inner Mongolia Autonomous Region, Tongliao City 028043, ChinaSchool of Mathematics and Informatics, Henan Polytechnic University, Jiaozuo City, Henan Province, 454010, ChinaThe authors introduce the concept of the s-geometrically convex functions. By the well-known Hölder inequality, they establish some integral inequalities of Hermite-Hadamard type related to the s-geometrically convex functions and apply these inequalities to special means.http://dx.doi.org/10.1155/2012/560586 |
| spellingShingle | Tian-Yu Zhang Ai-Ping Ji Feng Qi On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions Abstract and Applied Analysis |
| title | On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions |
| title_full | On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions |
| title_fullStr | On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions |
| title_full_unstemmed | On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions |
| title_short | On Integral Inequalities of Hermite-Hadamard Type for s-Geometrically Convex Functions |
| title_sort | on integral inequalities of hermite hadamard type for s geometrically convex functions |
| url | http://dx.doi.org/10.1155/2012/560586 |
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