Parameterized Yang-Hilbert-Type Integral Inequalities and Their Operator Expressions
Functional Analysis
2015-12-15 v1
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.
Cite
@article{arxiv.1512.04069,
title = {Parameterized Yang-Hilbert-Type Integral Inequalities and Their Operator Expressions},
author = {Bicheng Yang and Michael Th. Rassias},
journal= {arXiv preprint arXiv:1512.04069},
year = {2015}
}
Comments
This paper has been published in 2015. See: http://www.mthrassias.com/papers-articles/