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

Bicheng Yang () and Michael Th. Rassias ()
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Bicheng Yang: Guangdong University of Education, Guangzhou, Department of Mathematics
Michael Th. Rassias: Princeton University, Department of Mathematics

A chapter in Computation, Cryptography, and Network Security, 2015, pp 635-736 from Springer

Abstract: Abstract 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.

Keywords: Hardy-type integral operator; Yang–Hilbert-type integral inequality; Hölder’s inequality; Measurable function; Weight function; Equivalent form; Operator expression (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-18275-9_27

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DOI: 10.1007/978-3-319-18275-9_27

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