#### Hao Wang, Certain integral inequalities related to $(\varphi,\varrho^{\alpha})$-Lipschitzian mappings and generalized h-convexity on fractal sets, Vol. 2021 (2021), Article ID 12, pp. 1-18

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DOI: 10.23952/jnfa.2021.12

Received October 28, 2020; Accepted March 11, 2021; Published April 6, 2021

Abstract. In this paper, we deal with certain new Hadamard’s type inequalities involving $(\varphi,\sigma^{\alpha})$-Lipschitzian mappings on fractal sets $\mathbb{R^{\alpha}}(0\leq\alpha\leq 1)$. Also, some properties of generalized mappings $H$ and $F$ related to generalized $h$-convexity are given.

Hao Wang, Certain integral inequalities related to $(\varphi,\varrho^{\alpha})$-Lipschitzian mappings and generalized $h$-convexity on fractal sets, Journal of Nonlinear Functional Analysis, Vol. 2021 (2021), Article ID 12, pp. 1-18.