Some new generalizations of Hardy's integral inequality
نویسندگان
چکیده
منابع مشابه
Some new generalizations of Hardy's integral inequality
We have studied some new generalizations of Hardy's integral inequality using the generalized Holder's inequality.
متن کاملSome refinements and generalizations of Carleman's inequality
The constant is the best possible. There is a vast literature which deals with alternative proofs, various generalizations and extensions, and numerous variants and applications in analysis of inequality (1.1); see [1, 2, 3, 5, 7, 9, 8, 10, 13, 14, 15, 16, 17, 18, 19] and the references given therein. According to Hardy (see [6, Theorem 349]), Carleman’s inequality was generalized as follows. I...
متن کاملOn Bicheng-debnath’s Generalizations of Hardy’s Integral Inequality
We consider Hardy’s integral inequality and we obtain some new generalizations of Bicheng-Debnath’s recent results. We derive two distinguished classes of inequalities covering all admissible choices of parameter k from Hardy’s original relation. Moreover, we prove the constant factors involved in the right-hand sides of some particular inequalities from both classes to be the best possible, th...
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 کاملSome Extensions of Hilbert’s Integral Inequality
In this paper we introduce a new extension of Hilbert's integral inequality with a best constant factor involving the hypergeometric function. The equivalent form and some examples will be 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
ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2006
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms/2006/19013