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April 12, 2026Journal of Inequalities and Applications2 citationsOpen Access

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

JLJianquan LiaoBYBo Yang

Key Points

  • The aim is to derive a multidimensional half-discrete Hilbert-type inequality involving derivative functions.
  • Utilized weight functions to introduce parameters.
  • Applied Hardy’s integral inequality for derivation.
  • Considered equivalent statements regarding the best value of the new inequality.
  • Derived a new inequality with a general homogeneous kernel.
  • Established connections to multiple parameters and corollaries.

Abstract

Abstract 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.

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Cite This Study

Liao et al. (2026) studied this question.

synapsesocial.com/papers/69db37964fe01fead37c5a77https://doi.org/10.1186/s13660-026-03472-1
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