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On generalized Grüss type inequalities for k-fractional integrals

Author

Listed:
  • Set, Erhan
  • Tomar, Muharrem
  • Sarikaya, Mehmet Zeki

Abstract

The aim of the present paper is to investigate some new integral inequalities of Grüss type for k - Riemann–Liouville fractional integrals. From our results, new weighted or classical Grüss type inequalities have been established for some special cases. Moreover, special cases of the integral inequalities in this paper have been obtained by Dahmani and Tabharit, 2010 in [5].

Suggested Citation

  • Set, Erhan & Tomar, Muharrem & Sarikaya, Mehmet Zeki, 2015. "On generalized Grüss type inequalities for k-fractional integrals," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 29-34.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:29-34
    DOI: 10.1016/j.amc.2015.07.026
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    Cited by:

    1. Gauhar Rahman & Kottakkaran Sooppy Nisar & Thabet Abdeljawad & Samee Ullah, 2020. "Certain Fractional Proportional Integral Inequalities via Convex Functions," Mathematics, MDPI, vol. 8(2), pages 1-11, February.
    2. Gauhar Rahman & Kottakkaran Sooppy Nisar & Thabet Abdeljawad, 2020. "Tempered Fractional Integral Inequalities for Convex Functions," Mathematics, MDPI, vol. 8(4), pages 1-12, April.
    3. Gauhar Rahman & Kottakkaran Sooppy Nisar & Thabet Abdeljawad, 2020. "Certain Hadamard Proportional Fractional Integral Inequalities," Mathematics, MDPI, vol. 8(4), pages 1-14, April.
    4. Asifa Tassaddiq, 2019. "A New Representation of the k-Gamma Functions," Mathematics, MDPI, vol. 7(2), pages 1-13, February.
    5. Gauhar Rahman & Thabet Abdeljawad & Fahd Jarad & Kottakkaran Sooppy Nisar, 2020. "Bounds of Generalized Proportional Fractional Integrals in General Form via Convex Functions and Their Applications," Mathematics, MDPI, vol. 8(1), pages 1-19, January.

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