## Tbilisi Mathematical Journal

### Fractional Hermite-Hadmard inequalities for convex functions and applications

#### Abstract

In this paper, we derive a new lemma including third-order derivative of a function via fractional integrals. Using this lemma, we establish some new fractional estimates for Hermite-Hadamard type inequalities for convex functions. Several special cases are also discussed. Some applications to special means of real numbers are also discussed. The ideas and techniques used in this paper may stimulate future investigations regarding Hermite-Hadamard type of inequalities and its application in different areas.

#### Article information

Source
Tbilisi Math. J., Volume 8, Issue 2 (2015), 103-113.

Dates
Accepted: 22 May 2015
First available in Project Euclid: 12 June 2018

https://projecteuclid.org/euclid.tbilisi/1528769010

Digital Object Identifier
doi:10.1515/tmj-2015-0014

Mathematical Reviews number (MathSciNet)
MR3360646

Zentralblatt MATH identifier
1318.26014

#### Citation

Noor, Muhammad Aslam; Noor, Khalida Inayat; Awan, Muhammad Uzair. Fractional Hermite-Hadmard inequalities for convex functions and applications. Tbilisi Math. J. 8 (2015), no. 2, 103--113. doi:10.1515/tmj-2015-0014. https://projecteuclid.org/euclid.tbilisi/1528769010

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