On Best Extensions of Hardy-hilbert’s Inequality with Two Parameters
نویسنده
چکیده
This paper deals with some extensions of Hardy-Hilbert’s inequality with the best constant factors by introducing two parameters λ and α and using the Beta function. The equivalent form and some reversions are considered.
منابع مشابه
On Hardy-hilbert Integral Inequalities with Some Parameters
In this paper, we give a new Hardy-Hilbert’s integral inequality with some parameters and a best constant factor. It includes an overwhelming majority of results of many papers.
متن کاملOn Some Extensions of Hardy-Hilbert’s Inequality and Applications
Laith Emil Azar Department of Mathematics, Al Al-Bayt University, P.O. Box. 130095, Mafraq 25113, Jordan Correspondence should be addressed to Laith Emil Azar, azar [email protected] Received 23 October 2007; Accepted 2 January 2008 Recommended by Shusen Ding By introducing some parameters we establish an extension of Hardy-Hilbert’s integral inequality and the corresponding inequality for series...
متن کاملA Relation to Hardy-hilbert’s Integral Inequality and Mulholland’s Inequality
This paper deals with a relation between Hardy-Hilbert’s integral inequality and Mulholland’s integral inequality with a best constant factor, by using the Beta function and introducing a parameter λ. As applications, the reverse, the equivalent form and some particular results are considered.
متن کاملSome new extensions of Hardy`s inequality
In this study, by a non-negative homogeneous kernel k we prove some extensions of Hardy's inequalityin two and three dimensions
متن کاملOn Hardy-hilbert’s Integral Inequality
In the present paper, by introducing some parameters, new forms of Hardy-Hilbert’s inequalities are given.
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 2005