Generalized Convex Functions on Fractal Sets and Two Related Inequalities
We introduce the generalized convex function on fractal sets Rα (0<α≤1) of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen’s inequality and generalized Hermite-Hadamard's inequality. Furthermore, s...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/636751 |
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| _version_ | 1832560945183850496 |
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| author | Huixia Mo Xin Sui Dongyan Yu |
| author_facet | Huixia Mo Xin Sui Dongyan Yu |
| author_sort | Huixia Mo |
| collection | DOAJ |
| description | We introduce the generalized convex function on fractal sets Rα (0<α≤1) of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen’s inequality and generalized Hermite-Hadamard's inequality. Furthermore, some applications are given. |
| format | Article |
| id | doaj-art-5bdd72f063be4cf1ac278cc8b81bdf0b |
| 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-5bdd72f063be4cf1ac278cc8b81bdf0b2025-02-03T01:26:18ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/636751636751Generalized Convex Functions on Fractal Sets and Two Related InequalitiesHuixia Mo0Xin Sui1Dongyan Yu2School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaSchool of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaSchool of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaWe introduce the generalized convex function on fractal sets Rα (0<α≤1) of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen’s inequality and generalized Hermite-Hadamard's inequality. Furthermore, some applications are given.http://dx.doi.org/10.1155/2014/636751 |
| spellingShingle | Huixia Mo Xin Sui Dongyan Yu Generalized Convex Functions on Fractal Sets and Two Related Inequalities Abstract and Applied Analysis |
| title | Generalized Convex Functions on Fractal Sets and Two Related Inequalities |
| title_full | Generalized Convex Functions on Fractal Sets and Two Related Inequalities |
| title_fullStr | Generalized Convex Functions on Fractal Sets and Two Related Inequalities |
| title_full_unstemmed | Generalized Convex Functions on Fractal Sets and Two Related Inequalities |
| title_short | Generalized Convex Functions on Fractal Sets and Two Related Inequalities |
| title_sort | generalized convex functions on fractal sets and two related inequalities |
| url | http://dx.doi.org/10.1155/2014/636751 |
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