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