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Hermite-Hadamard inequalities for exponential type harmonically $ ( \alpha, s)_{h}$-convex functions | ||
| Journal of Mahani Mathematical Research | ||
| دوره 14، شماره 1 - شماره پیاپی 31، فروردین 2025، صفحه 473-489 اصل مقاله (479.83 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2024.23617.1668 | ||
| نویسندگان | ||
| Kemi Iyabo Apanpa* 1؛ Adesanmi Alao Mogbademu2؛ Johnson Olalerun2 | ||
| 1Department of mathematics, University of Jos, Jos, Nigeria. | ||
| 2Department of Mathematics, Faculty of Sciences. University of Lagos, Nigeria. | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Functional analysis؛ Mathematical terms؛ Pure Mathematics | ||
| مراجع | ||
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[14] Yan Xi, B., Dan-Dan G, Feng Qi. (2020). Integral inequalities of Hermite-Hadamard type for ( ; s) convex and ( ; s;m)-convex functions. Italian Journal of Pure and Applied Mathematics, 44, 499-510. hal-01761678v2, 2020. | ||
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