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On Dynamic Inequalities of Grüss, Ostrowski and Trapezoidal Type via Nabla-α Conformable Integrals on Time Scales

Author

Listed:
  • Khuram Ali Khan
  • Iram Shahzadi
  • Ammara Nosheen
  • M. K. Kahungu
  • Y. S. Hamed

Abstract

This study proves numerous novel Ostrowski-type inequalities for nabla-α differentiable functions by employing the α-conformable fractional calculus on time scales. Generalized forms of Grüss and trapezoid-type inequalities are also obtained for single-variate functions with bounded second-order nabla-α derivatives. Some examples of obtained inequalities are established by choosing T=R, T=hZ for h>0 and T=qN0 for q>1. Furthermore, the validation of the produced inequalities is shown numerically as well as graphically.

Suggested Citation

  • Khuram Ali Khan & Iram Shahzadi & Ammara Nosheen & M. K. Kahungu & Y. S. Hamed, 2026. "On Dynamic Inequalities of Grüss, Ostrowski and Trapezoidal Type via Nabla-α Conformable Integrals on Time Scales," Discrete Dynamics in Nature and Society, Hindawi, vol. 2026, pages 1-17, January.
    • Handle: RePEc:hin:jnddns:8828042
    DOI: 10.1155/ddns/8828042
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