On continuous and discrete Hardy inequalities
نویسندگان
چکیده
منابع مشابه
On Hardy-Pachpatte-Copson's Inequalities
We establish new inequalities similar to Hardy-Pachpatte-Copson's type inequalities. These results in special cases yield some of the recent results.
متن کاملHardy-type inequalities in fractional h-discrete calculus
The first power weighted version of Hardy's inequality can be rewritten as [Formula: see text] where the constant [Formula: see text] is sharp. This inequality holds in the reversed direction when [Formula: see text]. In this paper we prove and discuss some discrete analogues of Hardy-type inequalities in fractional h-discrete calculus. Moreover, we prove that the corresponding constants are sh...
متن کاملCritical Hardy–Sobolev Inequalities
Abstract We consider Hardy inequalities in IRn, n ≥ 3, with best constant that involve either distance to the boundary or distance to a surface of co-dimension k < n, and we show that they can still be improved by adding a multiple of a whole range of critical norms that at the extreme case become precisely the critical Sobolev norm. Résumé Nous étudions des inegalités de Hardy dans IRn, n ≥ 3,...
متن کاملHardy–Leindler Type Inequalities on Time Scales
In this paper, we will prove some new dynamic inequalities on a time scale T. These inequalities, as special cases, when T= R contain some integral inequalities and when T= N contain the discrete inequalities due to Leindler. The main results will be proved by using the Hölder inequality and a simple consequence of Keller’s chain rule on time scales. From our results, as applications, we will d...
متن کاملOn Generalization of Hardy-type Inequalities
This paper is devoted to some new generalization of Hardy-type integral inequalities and the reversed forms. The study is to determine conditions on which the generalized inequalities hold using some known hypothesis. Improvement of some inequalities are also presented.
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: Journal of Spectral Theory
سال: 2016
ISSN: 1664-039X
DOI: 10.4171/jst/144