1. A Variety of Nabla Hardy's Type Inequality on Time Scales.
- Author
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El-Deeb, Ahmed A., Makharesh, Samer D., Askar, Sameh S., and Awrejcewicz, Jan
- Subjects
- *
FRACTIONAL integrals , *INTEGRAL inequalities - Abstract
The primary goal of this research is to prove some new Hardy-type ∇-conformable dynamic inequalities by employing product rule, integration by parts, chain rule and (γ , a) -nabla Hölder inequality on time scales. The inequalities proved here extend and generalize existing results in the literature. Further, in the case when γ = 1 , we obtain some well-known time scale inequalities due to Hardy inequalities. Many special cases of the proposed results are obtained and analyzed such as new conformable fractional h-sum inequalities, new conformable fractional q-sum inequalities and new classical conformable fractional integral inequalities. [ABSTRACT FROM AUTHOR]
- Published
- 2022
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