6 papers · 1 filter
A proof of the Prelov conjecture
Yi C. Huang, Fei Xue
In this paper we present a complete proof of a conjecture due to V. V. Prelov in 2010 about an information inequality for the binary entropy function.
Change of variable and discrete Hardy inequality
Yi C. Huang
For absolutely convergent series we state explicitly a one-sided summation estimate that can be viewed as the discrete analogue of the change of variable formula on the half line.…
Evans-Lewis inequalities in dimension three
Yi C. Huang, Li Liu
In proving Rellich inequalities in the framework of equalities, N. Bez, S. Machihara, and T. Ozawa obtained some interesting norm inequalities in the spirit of Evans and Lewis that…
On eigenvalue inequalities of Schmuckenschlager
Yi C. Huang
About ten years ago, Schmuckenschläger proved that the lowest eigenvalue of Dirichlet Laplacian for the intersection of two balls (i.e., convex, symmetric and compact subsets of $\…
Rellich Inequality via Radial Dissipativity
Yi C. Huang
We give a conceptually simple and essentially one-dimensional approach to Rellich inequality in Euclidean space . In particular, we show that the radial part and the…
Rellich type inequalities on the half line in the framework of equalities
Yi C. Huang, Fuping Shi
We establish in this paper some weighted Hardy and Rellich type inequalities on the half line in the framework of equalities, extending recent results proved by Machihara-Ozawa-Wad…