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Novel characterization of weighted inequalities of Hardy type on time scales | Synapse

March 25, 2026Open Access

Novel characterization of weighted inequalities of Hardy type on time scales

Key Points

To explore novel characterizations of weights for Hardy-type inequalities across time scales.
Investigated dynamic Hardy-type inequalities on time scales
Compared findings with classical discrete inequalities
Applied mathematical analysis techniques for characterization.
Established new forms of inequalities distinct from classical results
Demonstrated alignment with discrete inequalities under certain conditions
Presented theoretical breakthroughs in understanding dynamic behaviors.

Abstract

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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Cite This Study

Abbas et al. (Mon,) studied this question.

synapsesocial.com/papers/69c37b93b34aaaeb1a67e0ed https://doi.org/https://doi.org/10.1186/s13660-026-03446-3

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