The Strong Convex Functions and Related Inequalities
The study of convex functions is one of the most researched of the classical fields. Analysis of the geometric characteristics of these functions is a core area of research in this field; however, a paradigm shift in this research is the application of convexity in optimization theory. The Jensen-Me...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/4056201 |
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| _version_ | 1832545225900294144 |
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| author | Xue Wang Absar ul Haq Muhammad Shoaib Saleem Sami Ullah Zakir |
| author_facet | Xue Wang Absar ul Haq Muhammad Shoaib Saleem Sami Ullah Zakir |
| author_sort | Xue Wang |
| collection | DOAJ |
| description | The study of convex functions is one of the most researched of the classical fields. Analysis of the geometric characteristics of these functions is a core area of research in this field; however, a paradigm shift in this research is the application of convexity in optimization theory. The Jensen-Mercer type inequalities are studied extensively in recent years. In the present paper, we extend Jensen-Mercer type inequalities for strong convex function. Some improved inequalities in Hölder sense are also derived. The previously established results are generalized and strengthened by our results. |
| format | Article |
| id | doaj-art-413a45b007a2419083d532399014b048 |
| 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-413a45b007a2419083d532399014b0482025-02-03T07:26:19ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4056201The Strong Convex Functions and Related InequalitiesXue Wang0Absar ul Haq1Muhammad Shoaib Saleem2Sami Ullah Zakir3Changchun Sci-Tech UniversityDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe study of convex functions is one of the most researched of the classical fields. Analysis of the geometric characteristics of these functions is a core area of research in this field; however, a paradigm shift in this research is the application of convexity in optimization theory. The Jensen-Mercer type inequalities are studied extensively in recent years. In the present paper, we extend Jensen-Mercer type inequalities for strong convex function. Some improved inequalities in Hölder sense are also derived. The previously established results are generalized and strengthened by our results.http://dx.doi.org/10.1155/2022/4056201 |
| spellingShingle | Xue Wang Absar ul Haq Muhammad Shoaib Saleem Sami Ullah Zakir The Strong Convex Functions and Related Inequalities Journal of Function Spaces |
| title | The Strong Convex Functions and Related Inequalities |
| title_full | The Strong Convex Functions and Related Inequalities |
| title_fullStr | The Strong Convex Functions and Related Inequalities |
| title_full_unstemmed | The Strong Convex Functions and Related Inequalities |
| title_short | The Strong Convex Functions and Related Inequalities |
| title_sort | strong convex functions and related inequalities |
| url | http://dx.doi.org/10.1155/2022/4056201 |
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