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

Khuram Ali Khan, Iram Shahzadi, Ammara Nosheen, M. K. Kahungu and Y. S. Hamed

Discrete Dynamics in Nature and Society, 2026, vol. 2026, 1-17

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.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:8828042

DOI: 10.1155/ddns/8828042

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