Steffensen's integral inequality for conformable fractional integrals

Article Sidebar

PDF
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.

Main Article Content

Mehmet Zeki Sarikaya, Hatice Yaldiz, Huseyin Budak

Abstract

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.

Article Details

References

  1. T. Abdeljawad, On conformable fractional calculus, J. Comput. Appl. Math. 279 (2015) 57-66.
  2. M. Abu Hammad, R. Khalil, conformable fractional heat differential equations, Int. J. Pure Appl. Math. 94(2) (2014), 215-221.
  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.
  4. D. R. Anderson, Taylor's formula and integral inequalities for conformable fractional derivatives, Contrib. Math. Eng. Springer, (2016).
  5. R. Khalil, M. Al horani, A. Yousef, M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math. 264 (2014), 65-70.
  6. P. Cerone, On some generalizations of Steffensen's inequality and related results, J. Ineq. Pure Appl. Math. 3 (2) (2001), Art. ID 28.
  7. Z. Liu, More on Steffensen type inequalities, Soochow J. Math., 31 (3) (2005), 429-439.
  8. Z. Liu, On Steffensen type inequalities, J. Nanjing Univ. Math. Biquart. 19 (2) (2002), 25-30.
  9. D.S. Mitrinovic, J.E. Pecaric and A.M. Fink, Classical and new inequalities in analysis, Kluwer, Dordrecht (1993).
  10. J. F. Steffensen, On certain inequalities and methods of approximation, J. Inst. Actuaries 51(1919), 274-297.
  11. S.-H. Wu and H. M. Srivastava, Some improvements and generalizations of Steffensen's integral inequality, Appl. Math. Comput. 192 (2007), 422-428.