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On Hilbert type inequalities

2009
In this talk we give some new generalizations of classical Hilbert's inequality. We extend it to a general case with $k\geq 2$ non-conjugate exponents. The established technique is then applied to the case where functions are defined $R^n$, and in the case of conjugate exponents and some special homogeneous kernels it is shown that the obtained ...
Perić, Ivan   +2 more
openaire   +1 more source

Some Extensions of Hilbert-Type Inequalities

Advanced Materials Research, 2012
In this paper, an extension of Hilbert-type inequalities with a best constant factor is given by introducing two parameter .
openaire   +1 more source

On Reverse Hilbert Type Inequalities

2010
In this paper we establish a new inverse inequality of Hilbert type for a finite number of positive sequences of real numbers. The integral analogue of the inequality are also proved. The results of this paper reduce to that of B. G. Pachpatte.
Bencze, M, Zhou, C, Cheung, WS
openaire   +1 more source

On a mixed Kernel Hilbert‐type integral inequality and its operator expressions with norm

Mathematical Methods in the Applied Sciences, 2021
Qiong Liu
exaly  

A multiple Hilbert-type discrete inequality with a new kernel and best possible constant factor

Journal of Mathematical Analysis and Applications, 2015
Qi-Ru Wang
exaly  

Recent Advances in Hilbert-type Inequalities

2012
The present book is a crown of decennial research of several authors in this area. More precisely, this book is based on some thirty significant papers dealing with Hilbert-type inequalities, published in the course of the last ten years. We tried to provide a unified approach to Hilbert-type inequalities.
Krnić, Mario   +3 more
openaire   +1 more source

A Hilbert-type integral inequality in the whole plane related to the hypergeometric function and the beta function

Journal of Mathematical Analysis and Applications, 2015
Michael Th Rassias, Bicheng Yang
exaly  

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