Title: Steffensen's integral inequality for conformable fractional integrals
Author(s): Mehmet Zeki Sarikaya, Hatice Yaldiz, Huseyin Budak
Pages: 23-30
Cite as:
Mehmet Zeki Sarikaya, Hatice Yaldiz, Huseyin Budak, Steffensen's integral inequality for conformable fractional integrals, Int. J. Anal. Appl., 15 (1) (2017), 23-30.


The aim of this paper is to establish some Steffensen’s type inequalities for conformable fractional integral. The results presented here would provide generalizations of those given in earlier works.

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  1. T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math. 279 (2015) 57–66. Google Scholar

  2. M. Abu Hammad, R. Khalil, conformable fractional heat differential equations, Int. J. Pure Appl. Math. 94(2) (2014), 215-221. Google Scholar

  3. M. Abu Hammad, R. Khalil, Abel’s formula and wronskian for conformable fractional differential equations, Int. J. Differ. Equ. Appl. 13(3), 2014, 177-183. Google Scholar

  4. D. R. Anderson, Taylor’s formula and integral inequalities for conformable fractional derivatives, Contrib. Math. Eng. Springer, (2016). Google Scholar

  5. R. Khalil, M. Al horani, A. Yousef, M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math. 264 (2014), 65-70. Google Scholar

  6. P. Cerone, On some generalizations of Steffensen’s inequality and related results, J. Ineq. Pure Appl. Math. 3 (2) (2001), Art. ID 28. Google Scholar

  7. Z. Liu, More on Steffensen type inequalities, Soochow J. Math., 31 (3) (2005), 429–439. Google Scholar

  8. Z. Liu, On Steffensen type inequalities, J. Nanjing Univ. Math. Biquart. 19 (2) (2002), 25-30. Google Scholar

  9. D.S. Mitrinovic, J.E. Pecaric and A.M. Fink, Classical and new inequalities in analysis, Kluwer, Dordrecht (1993). Google Scholar

  10. J. F. Steffensen, On certain inequalities and methods of approximation, J. Inst. Actuaries 51(1919), 274–297. Google Scholar

  11. S.-H. Wu and H. M. Srivastava, Some improvements and generalizations of Steffensen’s integral inequality, Appl. Math. Comput. 192 (2007), 422-428. Google Scholar