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A Generalized q‐Grüss Inequality Involving the Riemann‐Liouville Fractional q‐Integrals

Author

Listed:
  • Aydin Secer
  • S. D. Purohit
  • K. A. Selvakumaran
  • Mustafa Bayram

Abstract

The aim of this paper is to establish q‐extension of the Grüss type integral inequality related to the integrable functions whose bounds are four integrable functions, involving Riemann‐Liouville fractional q‐integral operators. The results given earlier by Zhu et al. (2012) and Tariboon et al. (2014) follow the special cases of our findings.

Suggested Citation

  • Aydin Secer & S. D. Purohit & K. A. Selvakumaran & Mustafa Bayram, 2014. "A Generalized q‐Grüss Inequality Involving the Riemann‐Liouville Fractional q‐Integrals," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:914320
    DOI: 10.1155/2014/914320
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    References listed on IDEAS

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    1. Jessada Tariboon & Sotiris K. Ntouyas & Weerawat Sudsutad, 2014. "Some New Riemann-Liouville Fractional Integral Inequalities," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2014, pages 1-6, March.
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