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Peer-reviewedCC BY 4.0Mathematics

A Multidimensional Hilbert-Type Integral Inequality with the General Nonhomogeneous Kernel and Multiple Lower Limit Function

  • Bicheng Yang1
  • Jianquan Liao1
  1. 1School of Mathematics, Guangdong University of Education, Guangzhou 510303, China
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Abstract

By means of weight functions, the introduction of parameters and Hardy’s integral inequality, a new special kind of multidimensional Hilbert-type integral inequality with the general nonhomogeneous kernel and one multiple lower limit function 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

BibTeXRIS
BibTeX
@article{yang2026multidimensional,
  title = {{A Multidimensional Hilbert-Type Integral Inequality with the General Nonhomogeneous Kernel and Multiple Lower Limit Function}},
  author = {Bicheng Yang and Jianquan Liao},
  journal = {Mathematics},
  year = {2026},
  month = oct,
  doi = {10.3390/math14203691},
  url = {https://www.mdpi.com/2227-7390/14/20/3691},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - A Multidimensional Hilbert-Type Integral Inequality with the General Nonhomogeneous Kernel and Multiple Lower Limit Function
AU  - Bicheng Yang
AU  - Jianquan Liao
PY  - 2026
DA  - 2026/10/12
JO  - Mathematics
DO  - 10.3390/math14203691
UR  - https://www.mdpi.com/2227-7390/14/20/3691
AB  - By means of weight functions, the introduction of parameters and Hardy’s integral inequality, a new special kind of multidimensional Hilbert-type integral inequality with the general nonhomogeneous kernel and one multiple lower limit function is obtained. The equivalent statements of the best value in the new inequality related to several parameters are considered, and some corollaries are deduced.
SN  - 2227-7390
ER  -