Optimal matching parameters of the inverse Hilbert-type integral inequality with quasihomogeneous kernels and their applications

  • Yong Hong Department of Applied Mathematics, Guangzhou Huashang College, China
  • Mingjun Feng Department of Mathematics, Guangdong University of Education, Guangzhou, China
  • Bing He Department of Mathematics, Guangdong University of Education, Guangzhou, China
Keywords: Inverse Hilbert type integral inequality; Quasi-homogeneous kernel; Optimal matching parameter; Integral operator


UDC 517.9

By using the inverse Hölder inequality and the weight function method, we establish the inverse Hilbert-type integral inequality. In the case of a quasihomogeneous kernel, we obtain the necessary and sufficient conditions for the optimal matching parameters. Finally, their applications in the operator theory are discussed.


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How to Cite
Hong, Y., M. Feng, and B. He. “Optimal Matching Parameters of the Inverse Hilbert-Type Integral Inequality With Quasihomogeneous Kernels and Their Applications”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 76, no. 4, Apr. 2024, pp. 617 -28, doi:10.3842/umzh.v74i4.7366.
Research articles