Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions
In this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function. Additionally, several special characteristics of this class of functions are...
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| Format: | Article |
| Language: | English |
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Shahid Bahonar University of Kerman
2025-01-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_4542_2e9a1010ccfde7cdcd23dca69c284d99.pdf |
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| _version_ | 1841560210666160128 |
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| author | Kemi Apanpa Adesanmi Mogbademu Johnson Olalerun |
| author_facet | Kemi Apanpa Adesanmi Mogbademu Johnson Olalerun |
| author_sort | Kemi Apanpa |
| collection | DOAJ |
| description | In this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function. Additionally, several special characteristics of this class of functions are examined. More precisely, the authors provide some properties and characteristics related to the Hermite-Hdamard inequality for harmonically $ (\alpha, s)_{h}$-convex function, applications of this work with certain examples are made to establish results obtained. |
| format | Article |
| id | doaj-art-b58b1979b6e644cba5aad63ba8fcf08b |
| institution | Kabale University |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-b58b1979b6e644cba5aad63ba8fcf08b2025-01-04T19:30:18ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052025-01-0114147348910.22103/jmmr.2024.23617.16684542Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functionsKemi Apanpa0Adesanmi Mogbademu1Johnson Olalerun2Department of mathematics, University of Jos, Jos, Nigeria.Department of Mathematics, Faculty of Sciences. University of Lagos, Nigeria.Department of Mathematics, Faculty of Sciences. University of Lagos, Nigeria.In this paper, the authors study and introduce some new integral forms of Hermite-Hadamard inequalities in the form of harmonically convex functions known as exponential type harmonically $ (\alpha, s)_{h}$-convex function. Additionally, several special characteristics of this class of functions are examined. More precisely, the authors provide some properties and characteristics related to the Hermite-Hdamard inequality for harmonically $ (\alpha, s)_{h}$-convex function, applications of this work with certain examples are made to establish results obtained.https://jmmrc.uk.ac.ir/article_4542_2e9a1010ccfde7cdcd23dca69c284d99.pdffunctional analysismathematical termspure mathematics |
| spellingShingle | Kemi Apanpa Adesanmi Mogbademu Johnson Olalerun Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions Journal of Mahani Mathematical Research functional analysis mathematical terms pure mathematics |
| title | Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions |
| title_full | Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions |
| title_fullStr | Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions |
| title_full_unstemmed | Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions |
| title_short | Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions |
| title_sort | hermite hadamard inequalities for exponential type harmonically alpha s h convex functions |
| topic | functional analysis mathematical terms pure mathematics |
| url | https://jmmrc.uk.ac.ir/article_4542_2e9a1010ccfde7cdcd23dca69c284d99.pdf |
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