Results 1 to 10 of about 760,558 (188)
One-dimensional differential Hardy inequality [PDF]
Journal of Inequalities and Applications, 2017 We establish necessary and sufficient conditions for the one-dimensional differential Hardy inequality to hold, including the overdetermined case. The solution is given in terms different from those of the known results.
Aigerim Kalybay
doaj +2 more sources
An Improved Discrete Hardy Inequality [PDF]
The American Mathematical Monthly, 2016 In this note, we prove an improvement of the classical discrete Hardy inequality. Our improved Hardy-type inequality holds with a weight w which is strictly greater than the classical Hardy weight wH(n) ≔ 1/(2n)2, where .
M. Keller +2 more
semanticscholar +4 more sources
On the best possible remaining term in the Hardy inequality. [PDF]
Proc Natl Acad Sci U S A, 2008 We give a necessary and sufficient condition on a radially symmetric potential V on a bounded domain Ω of ℝn that makes it an admissible candidate for an improved Hardy inequality of the following type.
Ghoussoub N, Moradifam A.
europepmc +3 more sources
An Improved One-Dimensional Hardy Inequality [PDF]
Journal of Mathematical Sciences, 2022 . We prove a one-dimensional Hardy inequality on the halfline with sharp constant, which improves the classical form of this inequality. As a consequence of this new inequality we can rederive known doubly weighted Hardy inequalities. Our motivation comes
R. Frank, A. Laptev, T. Weidl
semanticscholar +1 more source
Optimal Hardy Inequality for Fractional Laplacians on the Integers [PDF]
Annales de l'Institute Henri Poincare. Physique theorique, 2022 We study the fractional Hardy inequality on the integers. We prove the optimality of the Hardy weight and hence affirmatively answer the question of sharpness of the constant.
M. Keller, Marius Nietschmann
semanticscholar +1 more source
Improvement of the Discrete Hardy inequality [PDF]
Bulletin des Sciences Mathématiques, 2022 We establish a novel improvement of the classical discrete Hardy inequality, which gives the discrete version of a recent (continuous) inequality of Frank, Laptev, and Weidl.
Prasun Roychowdhury, D. Suragan
semanticscholar +1 more source
A Sharp Form of the Discrete Hardy Inequality and the Keller–Pinchover–Pogorzelski Inequality [PDF]
The American mathematical monthly, 2021 We give a short proof of a recently established Hardy-type inequality due to Keller, Pinchover, and Pogorzelski together with its optimality. Moreover, we identify the remainder term which makes it into an identity.
D. Krejčiřík, F. Štampach
semanticscholar +1 more source
Discrete Weighted Hardy Inequality in 1-D [PDF]
Journal of Mathematical Analysis and Applications, 2021 . In this paper we consider weighted versions of one dimensional discrete Hardy’s inequality on the half-line with power weights of the form n α ; namely, we consider: We prove the above inequality when α ∈ [0 , 1) ∪ [5 , ∞ ) with the sharp constant c ...
S. Gupta
semanticscholar +1 more source
Mathematics, 2021 In this paper, we establish a new Hardy–Hilbert-type inequality involving parameters composed of a pair of weight coefficients with their sum. Our result is a unified generalization of some Hardy–Hilbert-type inequalities presented in earlier papers ...
Bicheng Yang, Shanhe Wu, Xingshou Huang
doaj +1 more source
A Multiparameter Hardy–Hilbert-Type Inequality Containing Partial Sums as the Terms of Series
Journal of Mathematics, 2021 In this study, a multiparameter Hardy–Hilbert-type inequality for double series is established, which contains partial sums as the terms of one of the series.
Jianquan Liao, Shanhe Wu, Bicheng Yang
doaj +1 more source