Hermite–Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified h-Convex Functions
Convexity theory becomes a hot area of research due to its applications in pure and applied mathematics, especially in optimization theory. The aim of this paper is to introduce a broader class of convex functions by unifying geometrically strong convex function with h convex functions. This new cla...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9970389 |
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| _version_ | 1850216692958887936 |
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| author | Xishan Yu Muhammad Shoaib Saleem Shumaila Waheed Ilyas Khan |
| author_facet | Xishan Yu Muhammad Shoaib Saleem Shumaila Waheed Ilyas Khan |
| author_sort | Xishan Yu |
| collection | DOAJ |
| description | Convexity theory becomes a hot area of research due to its applications in pure and applied mathematics, especially in optimization theory. The aim of this paper is to introduce a broader class of convex functions by unifying geometrically strong convex function with h convex functions. This new class of functions is called as generalized geometrically strongly modified h-convex functions. We established Hermite–Hadamard-type inequalities for the generalized geometrically strongly modified h-convex functions. Our results can be considered as generalization and extension of literature. |
| format | Article |
| id | doaj-art-3679f0a181a1401bac6d4fc0adbd6d7e |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-3679f0a181a1401bac6d4fc0adbd6d7e2025-08-20T02:08:14ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99703899970389Hermite–Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified h-Convex FunctionsXishan Yu0Muhammad Shoaib Saleem1Shumaila Waheed2Ilyas Khan3School of Applied Technology, Dalian Ocean University, Dalian 116300, ChinaDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics, University of Okara, Okara, PakistanDepartment of Mathematics and Statistics, Majmaah University, Al Majma’ah, Saudi ArabiaConvexity theory becomes a hot area of research due to its applications in pure and applied mathematics, especially in optimization theory. The aim of this paper is to introduce a broader class of convex functions by unifying geometrically strong convex function with h convex functions. This new class of functions is called as generalized geometrically strongly modified h-convex functions. We established Hermite–Hadamard-type inequalities for the generalized geometrically strongly modified h-convex functions. Our results can be considered as generalization and extension of literature.http://dx.doi.org/10.1155/2021/9970389 |
| spellingShingle | Xishan Yu Muhammad Shoaib Saleem Shumaila Waheed Ilyas Khan Hermite–Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified h-Convex Functions Journal of Mathematics |
| title | Hermite–Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified h-Convex Functions |
| title_full | Hermite–Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified h-Convex Functions |
| title_fullStr | Hermite–Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified h-Convex Functions |
| title_full_unstemmed | Hermite–Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified h-Convex Functions |
| title_short | Hermite–Hadamard-Type Inequalities for the Generalized Geometrically Strongly Modified h-Convex Functions |
| title_sort | hermite hadamard type inequalities for the generalized geometrically strongly modified h convex functions |
| url | http://dx.doi.org/10.1155/2021/9970389 |
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