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<p>By means of the weight functions, the idea of introduced parameters and Hardy’s integral inequality, a multidimensional half-discrete Hilbert-type inequality with a general homogeneous kernel involving one derivative function of m-order is obtained. The equivalent statements of the best value in the new inequality related to several parameters are considered, and some corollaries are deduced.</p>

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A general multidimensional half-discrete Hilbert-type inequality involving one derivative function of m-order

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年4月10日

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  • Jianquan Liao,
  • Bicheng Yang

摘要

By means of the weight functions, the idea of introduced parameters and Hardy’s integral inequality, a multidimensional half-discrete Hilbert-type inequality with a general homogeneous kernel involving one derivative function of m-order is obtained. The equivalent statements of the best value in the new inequality related to several parameters are considered, and some corollaries are deduced.