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ON SOME NEW FRACTIONAL HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX AND CO-ORDINATED CONVEX FUNCTIONS

  • Ali, Muhammad Aamir (Jiangsu Key Laboratory for NSLSCS School of Mathematical Sciences, Nanjing Normal University) ;
  • Budak, Huseyin (Department of Mathematics Faculty of Science and Arts, Duzce University) ;
  • Sakhi, Sadia (Department of Mathematics Institute of Southern Punjab)
  • Received : 2020.07.31
  • Accepted : 2020.12.22
  • Published : 2020.12.30

Abstract

In this study, some new inequalities of Hermite-Hadamard type for convex and co-ordinated convex functions via Riemann-Liouville fractional integrals are derived. It is also shown that the results obtained in this paper are the extension of some earlier ones.

Keywords

Acknowledgement

The first author is thankful to the Chinese Scholarship Council for offering a full scholarship in his Ph.D. studies at Nanjing Normal University, Nanjing, China. The authors would like to express their sincere thanks to the editor and the anonymous reviewers for their helpful comments and suggestions.

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