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26 April 2024
 
  » arxiv » 1512.4069

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Parameterized Yang-Hilbert-Type Integral Inequalities and Their Operator Expressions
Bicheng Yang ; Michael Th. Rassias ;
Date 13 Dec 2015
AbstractApplying methods of Real Analysis and Functional Analysis, we build two weight functions with parameters and provide two kinds of parameterized Yang-Hilbert-type integral inequalities with the best constant factors. Equivalent forms, the reverses, and the operator expressions are also given. In particular, the Hardy-type inequalities and Hardy-type operators are studied. Additionally, a number of examples with two kinds of particular kernels are considered.
Source arXiv, 1512.4069
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