Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (4): 845-852.

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Optimal Matching Parameters for Inverse Hilbert-Type Integral Inequality with Non-homogeneous Kernel and Operator Expression#br#

HONY Yong1, CHEN Qiang2   

  1. 1. Department of Applied Mathematics, Guangzhou Huashang College, Guangzhou 511300, China;
    2. School of Computer Science, Guangdong University of Education, Guangzhou 510303, China
  • Received:2021-12-24 Online:2022-07-26 Published:2022-07-26

Abstract: Using the power function method, we discussed the inverse Hilbert\|type integral inequality with non-homogeneous kernel K(x,y)=G(xλ1yλ2)(λ1λ2>0) under the condition that 1/p+1/q=1(0

Key words: non-homogeneous kernel, inverse Hilbert-type integral inequality, optimal matching parameter, integral operator

CLC Number: 

  • O178