Compositional Yang-Hilbert-Type Integral Inequalities and Operators

Bicheng Yang ()
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Bicheng Yang: Guangdong University of Education, Department of Mathematics

A chapter in Contributions in Mathematics and Engineering, 2016, pp 675-749 from Springer

Abstract: Abstract By using the Real and Functional Analysis and estimating the weight functions, we build two kinds of compositional Yang-Hilbert-type integral inequalities with the best possible constant factors. The equivalent forms and the reverses are also considered. Four kinds of compositional Yang-Hilbert-type integral operators are defined and the related composition formulas are given.

Date: 2016
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DOI: 10.1007/978-3-319-31317-7_30

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