Arabian Journal of Mathematics

, Volume 8, Issue 2, pp 95–107 | Cite as

Local fractional integrals involving generalized strongly m-convex mappings

  • George AnastassiouEmail author
  • Artion Kashuri
  • Rozana Liko
Open Access


In this paper, we first obtain a generalized integral identity for twice local fractional differentiable mappings on fractal sets \({\mathbb {R}}^{\alpha }\, (0<\alpha \le 1)\) of real line numbers. Then, using twice local fractional differentiable mappings that are in absolute value at certain powers generalized strongly m-convex, we obtain some new estimates on generalization of trapezium-like inequalities. We also discuss some new special cases which can be deduced from our main results.

Mathematics Subject Classification

Primary 26A51 Secondary 26A33 26D07 26D10 26D15 



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© The Author(s) 2018

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Authors and Affiliations

  • George Anastassiou
    • 1
    Email author
  • Artion Kashuri
    • 2
  • Rozana Liko
    • 2
  1. 1.George Anastassiou Department of Mathematical SciencesUniversity of MemphisMemphisUSA
  2. 2.Department of Mathematics, Faculty of Technical ScienceUniversity Ismail QemaliVloraAlbania

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