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Parameterized Yang-Hilbert-Type Integral Inequalities and Their Operator Expressions

Applying 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.

preprint2015arXivOpen access
Bicheng YangMichael Th. Rassias
math.FA
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Open access2 authors1 topic
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Bicheng YangMichael Th. Rassias

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