On a mixed Kernel Hilbert-type integral inequality and its operator expressions with norm
• Qiong Liu
Qiong Liu
Shaoyang University
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## Abstract

By using some real analysis techniques, We study the structural characteristics of a multi-parameter Hilbert-type integral inequality with the hybrid kernel, and obtain some equivalent conditions for this inequality. We also consider the operator expression of the equivalent inequalities. The conclusions not only integrates some results of references, but also nds some new Hilbert-type integral inequalities with simple form by choosing suitable parameter values.

#### Peer review status:ACCEPTED

23 Feb 2020Submitted to Mathematical Methods in the Applied Sciences
28 Feb 2020Submission Checks Completed
28 Feb 2020Assigned to Editor
03 Mar 2020Reviewer(s) Assigned
09 Jun 2020Review(s) Completed, Editorial Evaluation Pending
12 Jul 2020Editorial Decision: Revise Minor