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Saker, Samir H.; Mahmoud, Ramy R.; Abdo, Khadega R.; Krnić, Mario

A unified approach to dynamic Hardy-type and Copson-type inequalities. (English) Zbl 1482.26041

Bull. Sci. Math. 174, Article ID 103089, 18 p. (2022).
The authors obtain some dynamic Hardy-type and Copson-type inequalities on time scales. Their main results relay on the Hölder inequality, the variant of the Fubini theorem and the power rules of integration on time scales. These results extent the known ones from the references.
Reviewer: Wengui Yang (Sanmenxia)

MSC:

26D15 Inequalities for sums, series and integrals
34A40 Differential inequalities involving functions of a single real variable
34N05 Dynamic equations on time scales or measure chains

Keywords:

Hardy inequality; Copson inequality; Hölder inequality; time scales; chain rule
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\textit{S. H. Saker} et al., Bull. Sci. Math. 174, Article ID 103089, 18 p. (2022; Zbl 1482.26041)
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