Some reverse inequalities of Hardy type on time scales

In this article, we obtain some new dynamic inequalities of Hardy type on time scales. The main results are derived using Fubini’s theorem and the chain rule on time scales. We apply the main results to the continuous calculus, discrete calculus, and q -calculus as special cases.

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Veröffentlicht in:	Advances in difference equations 2020-08, Vol.2020 (1), p.1-18, Article 402
Hauptverfasser:	El-Deeb, A. A., El-Sennary, H. A., Khan, Zareen A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Calculus Difference and Functional Equations Dynamic inequality Functional Analysis Inequalities Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Reverse Hardy’s inequality Time Time scale
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Beschreibung
Zusammenfassung:	In this article, we obtain some new dynamic inequalities of Hardy type on time scales. The main results are derived using Fubini’s theorem and the chain rule on time scales. We apply the main results to the continuous calculus, discrete calculus, and q -calculus as special cases.
ISSN:	1687-1847 1687-1839 1687-1847
DOI:	10.1186/s13662-020-02857-w