#### Chunyan Luo, Tingsong Du, Muhammad Uzair Awan, Marcela V. Mihai, On the k-fractional integral inequalities through the generalized s-$(\alpha,m)$-preinvexity, Vol. 2019 (2019), Article ID 2, pp. 1-18

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DOI: 10.23952/jnfa.2019.2

Received September 12, 2018; Accepted January 9, 2019; Published January 20, 2019

Abstract. In this paper, we establish new multi-parameterized integral inequalities for mappings with absolute values of the first derivatives which are generalized s-$(\alpha,m)$-preinvex, via k-fractional integrations. We also prove Hadamard-type inequalities involving products of two generalized s-$(\alpha,m)$-preinvex functions in the second sense.

Chunyan Luo, Tingsong Du, Muhammad Uzair Awan, Marcela V. Mihai, On the k-fractional integral inequalities through the generalized s-$(\alpha,m)$-preinvexity, Journal of Nonlinear Functional Analysis, Vol. 2019 (2019), Article ID 2, pp. 1-18.