Research article

Some inequalities via Ψ-Riemann-Liouville fractional integrals

  • Received: 08 June 2019 Accepted: 02 September 2019 Published: 17 September 2019
  • MSC : 26A33, 26A51, 26D07, 26D10, 26D15

  • 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.

    Citation: Naila Mehreen, Matloob Anwar. Some inequalities via Ψ-Riemann-Liouville fractional integrals[J]. AIMS Mathematics, 2019, 4(5): 1403-1415. doi: 10.3934/math.2019.5.1403

    Related Papers:

  • 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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