Sandor Type Inequalities for Sugeno Integral with respect to General α,m,r-Convex Functions
The concept for general α,m,r-convex functions, as a generalization of convex functions, is introduced. Then, Sandor type inequalities for the Sugeno integral based on this kind of function are established. Our work generalizes the previous results in the literature. Finally, some conclusions and pr...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/460520 |
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| _version_ | 1832548099020554240 |
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| author | Dong-Qing Li Yu-Hu Cheng Xue-Song Wang |
| author_facet | Dong-Qing Li Yu-Hu Cheng Xue-Song Wang |
| author_sort | Dong-Qing Li |
| collection | DOAJ |
| description | The concept for general α,m,r-convex functions, as a generalization of convex functions, is introduced. Then, Sandor type inequalities for the Sugeno integral based on this kind of function are established. Our work generalizes the previous results in the literature. Finally, some conclusions and problems for further investigations are given. |
| format | Article |
| id | doaj-art-06b0bba282964a979fb0f3fb814fcefd |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-06b0bba282964a979fb0f3fb814fcefd2025-02-03T06:42:13ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/460520460520Sandor Type Inequalities for Sugeno Integral with respect to General α,m,r-Convex FunctionsDong-Qing Li0Yu-Hu Cheng1Xue-Song Wang2School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaSchool of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaSchool of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221008, ChinaThe concept for general α,m,r-convex functions, as a generalization of convex functions, is introduced. Then, Sandor type inequalities for the Sugeno integral based on this kind of function are established. Our work generalizes the previous results in the literature. Finally, some conclusions and problems for further investigations are given.http://dx.doi.org/10.1155/2015/460520 |
| spellingShingle | Dong-Qing Li Yu-Hu Cheng Xue-Song Wang Sandor Type Inequalities for Sugeno Integral with respect to General α,m,r-Convex Functions Journal of Function Spaces |
| title | Sandor Type Inequalities for Sugeno Integral with respect to General α,m,r-Convex Functions |
| title_full | Sandor Type Inequalities for Sugeno Integral with respect to General α,m,r-Convex Functions |
| title_fullStr | Sandor Type Inequalities for Sugeno Integral with respect to General α,m,r-Convex Functions |
| title_full_unstemmed | Sandor Type Inequalities for Sugeno Integral with respect to General α,m,r-Convex Functions |
| title_short | Sandor Type Inequalities for Sugeno Integral with respect to General α,m,r-Convex Functions |
| title_sort | sandor type inequalities for sugeno integral with respect to general α m r convex functions |
| url | http://dx.doi.org/10.1155/2015/460520 |
| work_keys_str_mv | AT dongqingli sandortypeinequalitiesforsugenointegralwithrespecttogeneralamrconvexfunctions AT yuhucheng sandortypeinequalitiesforsugenointegralwithrespecttogeneralamrconvexfunctions AT xuesongwang sandortypeinequalitiesforsugenointegralwithrespecttogeneralamrconvexfunctions |