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<p>Based on a new idea of factorization, we prove an improved discrete Rellich inequality and discuss its optimality. We also give a conjecture on improved higher order discrete Hardy-like inequalities and formulate an open problem for the discrete Rellich inequality on the full space.</p>

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An improved discrete Rellich inequality on the half-line

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年6月29日

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  • Borbala Gerhat,
  • David Krejčiřík,
  • František Štampach

摘要

Based on a new idea of factorization, we prove an improved discrete Rellich inequality and discuss its optimality. We also give a conjecture on improved higher order discrete Hardy-like inequalities and formulate an open problem for the discrete Rellich inequality on the full space.