Novel characterization of weighted inequalities of Hardy type on time scales

Azhar Ali Abbas et al · SpringerOpen · 2026

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Azhar Ali Abbas et al

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SpringerOpen

Year

2026

ISSN

1029-242X

ISSN

1029-242X

Language

English

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Abstract In this paper, we present novel characterizations of weights for dynamic Hardy-type inequalities on time scales. In the continuous case, our findings correspond to the classical discrete inequalities established by Okpoti et al. (Function Spaces, Differential Operators and Nonlinear Analysis: 28/05/2004-02/06/2004, pp. 236–258, 2004), whereas in the continuous case, the resulting inequalities are fundamentally new.

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APA 7

al, A. A. A. E. (2026). Novel characterization of weighted inequalities of Hardy type on time scales. https://doi.org/10.1186/s13660-026-03446-3

MLA

al, Azhar Ali Abbas et. "Novel characterization of weighted inequalities of Hardy type on time scales." 2026. https://doi.org/10.1186/s13660-026-03446-3.

Chicago

al, Azhar Ali Abbas et. 2026. "Novel characterization of weighted inequalities of Hardy type on time scales.". https://doi.org/10.1186/s13660-026-03446-3.

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al, A. A. A. E. 2026, Novel characterization of weighted inequalities of Hardy type on time scales, SpringerOpen, available at: https://doi.org/10.1186/s13660-026-03446-3 [Accessed 9 Aug. 2026].

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Title: Novel characterization of weighted inequalities of Hardy type on time scales

Author / contributors: Azhar Ali Abbas et al

Publisher: SpringerOpen

Publication year: 2026

ISSN: 1029-242X

ISSN: 1029-242X

Language: English

Subjects

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Hardy-type inequalities; Chain rule; Time scales; Minkowski’s integral inequality