Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means
The authors establish some new inequalities for differentiable convex functions, which are similar to the celebrated Hermite-Hadamard's integral inequality for convex functions, and apply these inequalities to construct inequalities for special means of two positive numbers.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2012/980438 |
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| _version_ | 1850170667021893632 |
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| author | Bo-Yan Xi Feng Qi |
| author_facet | Bo-Yan Xi Feng Qi |
| author_sort | Bo-Yan Xi |
| collection | DOAJ |
| description | The authors establish some new inequalities for differentiable convex functions, which are similar to the celebrated Hermite-Hadamard's integral inequality for convex functions, and apply these inequalities to construct inequalities for special means of two positive numbers. |
| format | Article |
| id | doaj-art-9b38afdc7fc44cd9a78aead57408d7ff |
| institution | OA Journals |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-9b38afdc7fc44cd9a78aead57408d7ff2025-08-20T02:20:26ZengWileyJournal of Function Spaces and Applications0972-68021758-49652012-01-01201210.1155/2012/980438980438Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to MeansBo-Yan Xi0Feng Qi1College of Mathematics, Inner Mongolia University for Nationalities, Tongliao City 028043, ChinaSchool of Mathematics and Informatics, Henan Polytechnic University, Henan Province, Jiaozuo City 454010, ChinaThe authors establish some new inequalities for differentiable convex functions, which are similar to the celebrated Hermite-Hadamard's integral inequality for convex functions, and apply these inequalities to construct inequalities for special means of two positive numbers.http://dx.doi.org/10.1155/2012/980438 |
| spellingShingle | Bo-Yan Xi Feng Qi Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means Journal of Function Spaces and Applications |
| title | Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means |
| title_full | Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means |
| title_fullStr | Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means |
| title_full_unstemmed | Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means |
| title_short | Some Integral Inequalities of Hermite-Hadamard Type for Convex Functions with Applications to Means |
| title_sort | some integral inequalities of hermite hadamard type for convex functions with applications to means |
| url | http://dx.doi.org/10.1155/2012/980438 |
| work_keys_str_mv | AT boyanxi someintegralinequalitiesofhermitehadamardtypeforconvexfunctionswithapplicationstomeans AT fengqi someintegralinequalitiesofhermitehadamardtypeforconvexfunctionswithapplicationstomeans |