Giaccardi Inequality for Modified h-Convex Functions and Mean Value Theorems
In this article, we consider the class of modified h−convex functions and derive the famous Giaccardi and Petrovic′ type inequalities for this class of functions. The mean value theorems for the functionals due to Giaccardi and Petrovic′ type inequalities are formulated. Some special cases are discu...
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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/10.1155/2022/4364886 |
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| _version_ | 1832548964750065664 |
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| author | Yonghong Liu Wasim Iqbal Atiq Ur Rehman Ghulam Farid Kamsing Nonlaopon |
| author_facet | Yonghong Liu Wasim Iqbal Atiq Ur Rehman Ghulam Farid Kamsing Nonlaopon |
| author_sort | Yonghong Liu |
| collection | DOAJ |
| description | In this article, we consider the class of modified h−convex functions and derive the famous Giaccardi and Petrovic′ type inequalities for this class of functions. The mean value theorems for the functionals due to Giaccardi and Petrovic′ type inequalities are formulated. Some special cases are discussed by taking different examples of function h. |
| format | Article |
| id | doaj-art-9c3c9546ff0d4a72b92dd032ced06268 |
| 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-9c3c9546ff0d4a72b92dd032ced062682025-02-03T06:12:29ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/4364886Giaccardi Inequality for Modified h-Convex Functions and Mean Value TheoremsYonghong Liu0Wasim Iqbal1Atiq Ur Rehman2Ghulam Farid3Kamsing Nonlaopon4School of Computer ScienceDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsIn this article, we consider the class of modified h−convex functions and derive the famous Giaccardi and Petrovic′ type inequalities for this class of functions. The mean value theorems for the functionals due to Giaccardi and Petrovic′ type inequalities are formulated. Some special cases are discussed by taking different examples of function h.http://dx.doi.org/10.1155/2022/4364886 |
| spellingShingle | Yonghong Liu Wasim Iqbal Atiq Ur Rehman Ghulam Farid Kamsing Nonlaopon Giaccardi Inequality for Modified h-Convex Functions and Mean Value Theorems Journal of Function Spaces |
| title | Giaccardi Inequality for Modified h-Convex Functions and Mean Value Theorems |
| title_full | Giaccardi Inequality for Modified h-Convex Functions and Mean Value Theorems |
| title_fullStr | Giaccardi Inequality for Modified h-Convex Functions and Mean Value Theorems |
| title_full_unstemmed | Giaccardi Inequality for Modified h-Convex Functions and Mean Value Theorems |
| title_short | Giaccardi Inequality for Modified h-Convex Functions and Mean Value Theorems |
| title_sort | giaccardi inequality for modified h convex functions and mean value theorems |
| url | http://dx.doi.org/10.1155/2022/4364886 |
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