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

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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Publication Details

Journal
Mathematics
Published
2026-10-12
DOI
https://doi.org/10.3390/math14203691
Primary Topic
Mathematical Inequalities and Applications
Type
article
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article

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

廖建全, Bicheng Yang
Mathematics
Mathematical Inequalities and Applications
article

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

廖建全, Bicheng Yang
article en

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.

MathematicsVol. 14(20)
Guangdong University of Education (CN)
Openalex Percentile: Top 6%
Mathematical Inequalities and Applications
DOIOpen Access PDFOpenAlex
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A Multidimensional Hilbert-Type Integral Inequality with the General Nonhomogeneous Kernel and Multiple Lower Limit Function — 廖建全, Bicheng Yang · Mathematics (2026) | TGRS Research Map | TGRS