Conformable fractional integral inequalities for <em>GG</em>- and <em>GA</em>-convex functions

Yousaf Khurshid; Muhammad Adil Khan; Yu-Ming Chu; Yousaf Khurshid; Muhammad Adil Khan; Yu-Ming Chu

doi:10.3934/math.2020322

AIMS Mathematics

2020, Volume 5, Issue 5: 5012-5030. doi: 10.3934/math.2020322

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Research article

Conformable fractional integral inequalities for GG- and GA-convex functions

1.
Department of Mathematics, University of Peshawar, Peshawar 25000, Pakistan
2.
Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China
3.
Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, P. R. China

Received: 28 March 2020 Accepted: 02 June 2020 Published: 10 June 2020
MSC : 26A33, 26A51, 26D15

In the article, we present several new Hermite-Hadamard type inequalities for GG- and GA-convex functions via the conformable fractional integrals. Our results are the generalizations of some previously known results.
- GG-convex function,
- GA-convex function,
- Hermite-Hadamard inequality,
- conformable fractional integral
Citation: Yousaf Khurshid, Muhammad Adil Khan, Yu-Ming Chu. Conformable fractional integral inequalities for GG- and GA-convex functions[J]. AIMS Mathematics, 2020, 5(5): 5012-5030. doi: 10.3934/math.2020322

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Abstract

In the article, we present several new Hermite-Hadamard type inequalities for GG- and GA-convex functions via the conformable fractional integrals. Our results are the generalizations of some previously known results.

References

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