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Journal of inequalities and applications
2018;2018 (1): 161.

Hermite-Hadamard type inequalities for fractional integrals via Green's function.

Muhammad Adil Khan, Arshad Iqbal, Muhammad Suleman, Yu-Ming Chu
Author Information
  1. Muhammad Adil Khan: 1College of Science, Hunan City University, Yiyang, China.
  2. Arshad Iqbal: 2Department of Mathematics, University of Peshawar, Peshawar, Pakistan.
  3. Muhammad Suleman: 2Department of Mathematics, University of Peshawar, Peshawar, Pakistan.
  4. Yu-Ming Chu: 3Department of Mathematics, Huzhou University, Huzhou, China.
PMID: 30137889 DOI: 10.1186/s13660-018-1751-6

Abstract

In the article, we establish the left Riemann-Liouville fractional Hermite-Hadamard type inequalities and the generalized Hermite-Hadamard type inequalities by using Green's function and Jensen's inequality, and present several new Hermite-Hadamard type inequalities for a class of convex as well as monotone functions.

Keywords

Green���s function Hermite���Hadamard inequality convex function

References

  1. J Inequal Appl. 2017;2017(1):93 [PMID: 28515621]
  2. J Inequal Appl. 2017;2017(1):108 [PMID: 28553058]
  3. J Inequal Appl. 2018;2018(1):70 [PMID: 29628746]
Journal Article

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