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Some Riemann–Liouville fractional integral inequalities for convex functions

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Abstract

We are pleased to investigate some Riemann–Liouville fractional integral inequalities in a very simple and novel way. By using convexity of a function f and a simple inequality over the domain of f we establish some interesting results.

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References

  1. Dragmoir, S.S., and R.P. Agarwal. 1998. Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula. Applied Mathematics Letters 11 (5): 91–95.

    Article  MathSciNet  Google Scholar 

  2. Kilbas, A.A., H.M. Srivastava, and J.J. Trujillo. 2006. Theory and applications of fractional differential equations, North-Holland Mathematics Studies, 204. New York: Elsevier.

    Google Scholar 

  3. Laurent, H. 1884. Sur le calcul des derivees a indicies quelconques. Nouvelles Annales de Mathematiques 3 (3): 240–252.

    Google Scholar 

  4. Lazarević, M. 2014. Advanced topics on applications of fractional calculus on control problems, system stability and modeling. Athens: WSEAS Press.

    Google Scholar 

  5. Letnikov, A.V. 1868. Theory of differentiation with an arbitray index (Russian). Moscow Matematicheskii Sbornik 3: 1–66.

    Google Scholar 

  6. Sonin, N.Y. 1869. On differentiation with arbitray index. Moscow Matematicheskii Sbornik 6 (1): 1–38.

    Google Scholar 

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Acknowledgements

This research work is supported by Higher Education Commission of Pakistan under NRPU 2016, Project no. 5421.

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Correspondence to Ghulam Farid.

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Farid, G. Some Riemann–Liouville fractional integral inequalities for convex functions. J Anal 27, 1095–1102 (2019). https://doi.org/10.1007/s41478-018-0079-4

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  • DOI: https://doi.org/10.1007/s41478-018-0079-4

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