Work

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

Year: 2026

Type: article

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 , for h > 0 and for q > 1. Furthermore, the validation of the produced inequalities is shown numerically as well as graphically.

Source: Discrete Dynamics in Nature and Society

DOI: 10.1155/ddns/8828042

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

Institutions: University of Sargodha, Taif University

Language: English

Topic: Mathematical Inequalities and Applications

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,570

Funder: Taif University