Hermite-Hadamard inequalities for $\mathbb{B}$-convex and $\mathbb{B}^{-1}$-convex functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 19، دوره 8، شماره 1، 2017، صفحه 225-233 اصل مقاله (388.42 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2017.1621.1427 | ||
| نویسندگان | ||
| Ilknur Yesilce* 1؛ Gabil Adilov2 | ||
| 1Mersin University, Faculty of Science and Letters, Department of Mathematics, 33343, Mersin, Turkey | ||
| 2Akdeniz University, Faculty of Education, Department of Mathematics, 07058, Antalya, Turkey | ||
| چکیده | ||
| Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $\mathbb{B}$-convex and $\mathbb{B}^{-1}$-convex functions are proven. | ||
| کلیدواژهها | ||
| Hermite-Hadamard inequality؛ $mathbb{B}$-convex functions؛ $mathbb{B}^{-1}$-convex functions؛ abstract convexity | ||
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