#### Wenbing Sun, A unified approach to some inequalities for generalized convex functions on fractal sets and their applications, Vol. 2018 (2018), Article ID 45, pp. 1-16

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DOI: 10.23952/jnfa.2018.45

Received October 29, 2018; Accepted December 10, 2018; Published December 21, 2018

Abstract. In this paper, a general local fractional integral identity on fractal set $R^{\alpha}$ $(0<\alpha\leq 1)$ is established. We obtain some general local fractional integral inequalities for twice differentiable generalized convex functions. Based on these results, we derive some special inequalities. Some applications to error estimations for numerical integration and to special means are also given.