Hilbert-pachpatte Type Inequalities from Bonsall’s Form of Hilbert’s Inequality
نویسندگان
چکیده
The main objective of this paper is to deduce Hilbert-Pachpatte type inequalities using Bonsall’s form of Hilbert’s and Hardy-Hilbert’s inequalities, both in discrete and continuous case.
منابع مشابه
A Relation to Hilbert’s Integral Inequality and Some Base Hilbert-type Inequalities
In this paper, by using the way of weight function and real analysis techniques, a new integral inequality with some parameters and a best constant factor is given, which is a relation to Hilbert’s integral inequality and some base Hilbert-type integral inequalities. The equivalent form and the reverse forms are considered.
متن کاملSome Refinements of Hilbert-pachpatte Type Integral Inequalities
In this paper, we obtain an extension of a multivariable integral inequality of Hilbert-Pachpatte type. By specializing the upper estimate functions in the hypothesis and the parameters, we obtain many special cases.
متن کاملOn Inverse Hilbert-Type Inequalities
Considerable attention has been given to Hilbert inequalities and Hilbert-type inequalities and their various generalizations by several authors including Handley et al. 1 , Minzhe and Bicheng 2 , Minzhe 3 , Hu 4 , Jichang 5 , Bicheng 6 , and Zhao 7, 8 . In 1998, Pachpatte 9 gave some new integral inequalities similar to Hilbert inequality see 10, page 226 . In 2000, Zhao and Debnath 11 establi...
متن کاملSome New Inequalities Similar to Hilbert-pachpatte Type Inequalities
In this paper, some new inequalities similar to Hilbert-Pachpatte type inequalities are given.
متن کاملHilbert–pachpatte Type Multidimensional Integral Inequalities
In this paper we use a new approach to obtain a class of multivariable integral inequalities of Hilbert type from which we can recover as special cases integral inequalities obtained recently by Pachpatte and the present authors.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008