AIMS Mathematics, 2019, 4(5): 1403-1415. doi: 10.3934/math.2019.5.1403

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Some inequalities via Ψ-Riemann-Liouville fractional integrals

School of Natural Sciences, National University of Sciences and Technology, H-12 Islamabad, Pakistan

In this paper, we establish some Hermite-Hadamard type inequalities via $\psi$-Riemann-Liouville fractional integrals for $s$-convex functions in second sense and the functions belongs to the class $P(I)$ $($that is, a class of non-negative functions $\curlyvee:I\rightarrow\mathbb{R}$ which satisfies the condition $\curlyvee(ra_1+(1-r)a_2)\leq \curlyvee(a_1)+\curlyvee(a_2)$, for all $a_1,a_2\in I$ and $r\in[0,1])$. Some applications to special means are also investigated.
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