Two Kinds of Extended Applications on Multidimensional Half-Discrete Hilbert-Type Inequalities
Jul 2026 · Scientific Research Publishing, Inc. USA
Ebook
249
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About this ebook
In this book, by applying the weight functions, the idea of introduced parameters, the transfer formula, the Euler-Maclaurin summation formula and the techniques of real analysis and functional analysis, we use the well known Hardy’s integral inequalities to provide two kinds of extended applications on multidimensional half-discrete Hilbert-type inequalities, involving partial sum, derivative function of higher-order, multiple upper limit function and multiple lower limit function et al., as well as the equivalent statements and the cases of reverses, which mostly published by the journals in recent about ten years.
In this book, by applying the weight functions, the idea of introduced parameters, the transfer formula, the Euler-Maclaurin summation formula and the techniques of real analysis and functional analysis, we use the well known Hardy’s integral inequalities to provide two kinds of extended applicat...
About the author
male, 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 Ph.D. 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.
male, 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 Ph.D. supervisor of the University Utara ...
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