On a generalization of strongly \(\eta\)-convex functions via fractal sets. (English) Zbl 1487.26017
Summary: The purpose of this paper is to study a generalization of strongly \(\eta\)-convex functions using the local fractional calculus developed by X.-J. Yang [Advanced local fractional calculus and its applications. New York, NY: World Science Publisher (2012)], namely generalized strongly \(\eta\)-convex function. Among other results, we obtain some Hermite-Hadamard and Fejér type inequalities for this class of functions.
Keywords:
convex function; strongly \(\eta\)-convex function; fractal set; generalized strongly \(\eta\)-convex functionReferences:
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