Some Extended Applications of Hardy-Hilbert’s Integral Inequality
May 2025 · Scientific Research Publishing, Inc. USA
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105
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About this ebook
In this book, by applying the weight functions, the idea of introduced parameters and the techniques of real analysis and functional analysis, we use some lemmas and then provide a new Hilbert-type integral inequality with the nonhomogeneous kernel and the best possible constant factor. As applications, some new Hardy-Hilbert’s integral inequalities with two interval variables involving extended derivative functions of higher-order and extended multiple upper limit functions are obtained. The equivalent statements of the best possible constant factors related to several parameters are given.
About the author
he was born in August 1946 in the urban area of Shanwei City, Guangdong Province, China. He was appointed Professor of Mathematics in 1998. Now, he is the Director of the Institute of Applied Mathematics of Guangdong University of Education, and the PhD supervisor of the University Utara Malaysia. He has been devoted to basic and applied research on Summability, Operator Theory, and Analytic Inequalities for a long time. Over the past thirty years, he has developed and refined the theoretical framework of Yang-Hilbert-type inequalities, enhancing and promoting the classical Hardy-Hilbert inequality theory.
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