Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex Functions
In modern world, most of the optimization problems are nonconvex which are neither convex nor concave. The objective of this research is to study a class of nonconvex functions, namely, strongly nonconvex functions. We establish inequalities of Hermite-Hadamard and Fejér type for strongly nonconvex...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/7361558 |
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| author | Wenbo Xu Muhammad Imran Faisal Yasin Nazia Jahangir Qunli Xia |
| author_facet | Wenbo Xu Muhammad Imran Faisal Yasin Nazia Jahangir Qunli Xia |
| author_sort | Wenbo Xu |
| collection | DOAJ |
| description | In modern world, most of the optimization problems are nonconvex which are neither convex nor concave. The objective of this research is to study a class of nonconvex functions, namely, strongly nonconvex functions. We establish inequalities of Hermite-Hadamard and Fejér type for strongly nonconvex functions in generalized sense. Moreover, we establish some fractional integral inequalities for strongly nonconvex functions in generalized sense in the setting of Riemann-Liouville integral operators. |
| format | Article |
| id | doaj-art-6e9bfd7a30d0452aa87418ae9b72c71c |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-6e9bfd7a30d0452aa87418ae9b72c71c2025-02-03T01:20:18ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7361558Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex FunctionsWenbo Xu0Muhammad Imran1Faisal Yasin2Nazia Jahangir3Qunli Xia4School of AstronauticsDepartment of MathematicsDepartment of Mathematics and StatisticsDepartment of MathematicsSchool of AstronauticsIn modern world, most of the optimization problems are nonconvex which are neither convex nor concave. The objective of this research is to study a class of nonconvex functions, namely, strongly nonconvex functions. We establish inequalities of Hermite-Hadamard and Fejér type for strongly nonconvex functions in generalized sense. Moreover, we establish some fractional integral inequalities for strongly nonconvex functions in generalized sense in the setting of Riemann-Liouville integral operators.http://dx.doi.org/10.1155/2022/7361558 |
| spellingShingle | Wenbo Xu Muhammad Imran Faisal Yasin Nazia Jahangir Qunli Xia Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex Functions Journal of Function Spaces |
| title | Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex Functions |
| title_full | Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex Functions |
| title_fullStr | Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex Functions |
| title_full_unstemmed | Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex Functions |
| title_short | Fractional Versions of Hermite-Hadamard, Fejér, and Schur Type Inequalities for Strongly Nonconvex Functions |
| title_sort | fractional versions of hermite hadamard fejer and schur type inequalities for strongly nonconvex functions |
| url | http://dx.doi.org/10.1155/2022/7361558 |
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