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<p>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.&#xa0;236–258, <CitationRef CitationID="CR21">2004</CitationRef>), whereas in the continuous case, the resulting inequalities are fundamentally new.</p>

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Novel characterization of weighted inequalities of Hardy type on time scales

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月23日

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  • Azhar Ali Abbas,
  • Masar Faseeh Jabbar,
  • Mohammed Ali Wannas,
  • Essam Awwad,
  • Nizar Kh. Al-Oushoush

摘要

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.