Hilbert-type inequalities including Hilbert’s inequalities (built-in 1908), Hardy-Hilbert-type inequalities (built-in 1934) and Yang-Hilbert-type inequalities (built-in 1998) played
an important role in analysis and its applications, which are mainly divided into three
classes of integral, discrete and half-discrete. In recent thirty years, there are many
advances in research on Hilbert-type inequalities and some kinds of applications,
especially in Yang-Hilbert-type inequalities.
Sample Chapter(s)
Preface (3386 KB)
Components of the Book:
- Chapter 1. Introduction: Research on the Theory of Hilbert-Type Inequalities and Applications
- Chapter 2. A Few Extended Applications of Hardy-Hilbert's Integral Inequalities
- Chapter 3. Extended Applications of Hilbert-Type Integral Inequality with the General Homogeneous Kernel
- Chapter 4. Extended Applications of Hilbert-Type Integral Inequality with the General Nonhomogeneous Kernel
- Chapter 5. Extended Multidimensional Hardy-Hilbert’s Integral Inequalities Involving One Multiple Upper Limit Function
- Chapter 6. Extended Multidimensional Hilbert-Type Integral Inequalities with the General Homogeneous Kernel Involving One Derivative Function of m-Order
- Chapter 7. Extended Multidimensional Hilbert-Type Integral Inequalities with the
General Homogeneous Kernel Involving One Multiple Lower Limit Function
- Chapter 8. Extended Multidimensional Hilbert-Type Integral Inequalities with the General Nonhomogeneous Kernel Involving One Derivative Function of m-Order
- Chapter 9. Extended Multidimensional Hilbert-Type Integral Inequalities with the General Nonhomogeneous Kernel Involving One Multiple Lower Limit Function
- References
Readership:
Students, academics, teachers, and other people attending or interested in mathematics.
Bicheng Yang
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 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.