Hermite–Hadamard type integral inequalities for differentiable m-preinvex and (a,m)-preinvex functions | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 23, Issue 2, 2015, Pages 236-241 PDF (481.49 K) | ||
| Document Type: Original Article | ||
| DOI: 10.1016/j.joems.2014.06.006 | ||
| Authors | ||
| Muhammad Amer Latif* 1; Muhammad Shoaib2 | ||
| 1School of Computational and Applied Mathematics, University of the Witwatersrand, Private Bag 3, Wits, 2050 Johannesburg, South Africa | ||
| 2Faculty of Sciences, Department of Mathematics, University of Hail, PO BOX 2440, Saudi Arabia | ||
| Abstract | ||
| In this paper, the notion of m-preinvex and ða; mÞ-preinvex functions is introduced and then several inequalities of Hermite–Hadamard type for differentiable m-preinvex and ða; mÞ-preinvex functions are established. | ||
| Keywords | ||
| Hermite–Hadamard’s inequality; Invex set; Preinvex function; m-preinvex function; ð Þ a; m -preinvex function; Ho¨lder’s integral inequality | ||
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