Real Analysis Exchange

Fractional Hermite-Hadamard Type Integral Inequalities for Functions whose Modulus of the Mixed Derivatives are Co-ordinated Extended \( \left( s_{1},m_{1}\right) \)-\( \left( s_{2},m_{2}\right) \)-Preinvex

Meryem Benssaad, Sarra Ghomrani, Wahida Kaidouchi, and Badreddine Meftah

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Abstract

In this paper, we establish a new fractional identity involving a functions of two independent variables, and then we derive some fractional Hermite-Hadamard type integral inequalities for functions whose modulus of the mixed derivatives are co-ordinated extended \( \left( s_{1},m_{1} \right) \)-\( \left( s_{2},m_{2}\right) \)-preinvex.

Article information

Source
Real Anal. Exchange, Volume 44, Number 2 (2019), 305-332.

Dates
First available in Project Euclid: 1 May 2020

Permanent link to this document
https://projecteuclid.org/euclid.rae/1588298427

Digital Object Identifier
doi:10.14321/realanalexch.44.2.0305

Zentralblatt MATH identifier
07211594

Subjects
Primary: 26D15: Inequalities for sums, series and integrals 26D20: Other analytical inequalities
Secondary: 26A51: Convexity, generalizations

Keywords
integral inequality co-ordinated preinvex Holder inequality power mean inequality

Citation

Kaidouchi, Wahida; Meftah, Badreddine; Benssaad, Meryem; Ghomrani, Sarra. Fractional Hermite-Hadamard Type Integral Inequalities for Functions whose Modulus of the Mixed Derivatives are Co-ordinated Extended \( \left( s_{1},m_{1}\right) \)-\( \left( s_{2},m_{2}\right) \)-Preinvex. Real Anal. Exchange 44 (2019), no. 2, 305--332. doi:10.14321/realanalexch.44.2.0305. https://projecteuclid.org/euclid.rae/1588298427


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