Abstract
In this paper, we introduce a new class of convex functions which is called \({h_{\varphi}}\)-preinvex functions. We prove several Hermite–Hadamard inequalities for \({h_{\varphi}}\)-preinvex functions. Some special cases are also discussed. Results proved in this paper continue to hold for these special cases. Our results may stimulate further investigation regarding variant forms of Hermite–Hadamard type inequalities.
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Noor, M.A., Noor, K.I., Awan, M.U. et al. Hermite–Hadamard type inequalities for differentiable \({h_{\varphi}}\)-preinvex functions. Arab.J.Math. 4, 63–76 (2015). https://doi.org/10.1007/s40065-014-0124-3
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DOI: https://doi.org/10.1007/s40065-014-0124-3