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New refinements of fractional Hermite–Hadamard inequality

  • Muhammad Uzair AwanEmail author
  • Muhammad Aslam Noor
  • Ting-Song Du
  • Khalida Inayat Noor
Original Paper
  • 144 Downloads

Abstract

Some new refinements of Hermite–Hadamard type inequalities are obtained. These results involve some different types of fractional integrals. Special cases which are naturally included in the main results of the paper are also discussed.

Keywords

Convex Strongly convex Hermite–Hadamard Fractional Katugampola fractional integrals Inequalities 

Mathematics Subject Classification

26D15 26A51 26A33 

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Copyright information

© Springer-Verlag Italia S.r.l. 2017

Authors and Affiliations

  • Muhammad Uzair Awan
    • 1
    Email author
  • Muhammad Aslam Noor
    • 2
    • 3
  • Ting-Song Du
    • 4
  • Khalida Inayat Noor
    • 2
  1. 1.Government College UniversityFaisalabadPakistan
  2. 2.Mathematics DepartmentCOMSATS Institute of Information TechnologyIslamabadPakistan
  3. 3.Department of MathematicsKing Saud UniversityRiyadhSaudi Arabia
  4. 4.Department of Mathematics, College of ScienceChina Three Gorges UniversityYichangPeople’s Republic of China

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