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Hermite-Hadamard type inequalities for m-convex functions by using a new inequality for differentiable functions | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 1، دوره 9، شماره 2، دی 2020، صفحه 55-67 اصل مقاله (267.18 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2020.14449.1099 | ||
| نویسندگان | ||
| Yamin Sayyari* 1؛ Hasan Barsam2 | ||
| 1Department of Mathematics, Sirjan University of Technology, Sirjan, Iran | ||
| 2Department of Mathematics, University of Jiroft, Jiroft, Iran | ||
| چکیده | ||
| In this paper, we give some inequalities for di erentiable convex functions which are connected with the Hermite-Hadamard's integral inequality holding for convex functions. Also, we obtain some estimates to the right-hand side of Hermite-Hadamard inequality for functions whose absolute values of fourth derivatives raised to positive real powers are m-convex. Finally, some natural applications to special means of real numbers are given. | ||
| کلیدواژهها | ||
| Hermite-Hadamard inequalities؛ functional inequalities؛ m-convex functions؛ quasiconvex functions؛ Holder inequality | ||
| مراجع | ||
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