Related papers: A note on certain inequalities for bivariate means
We prove Gagliardo-Nirenberg inequalities on some classes of manifolds, Lie groups and graphs.
Several inequalities are presented which, in part, generalize inequalities by Weinstein and Weiss, giving rise to new lower bounds for the Bayes risk under squared error loss.
This note describes a way of obtaining e that differs from the standard one. It could be used as an alternate way of showing how the value of e is obtained. No attempt is made to show the existence of the limit in the definition of e that…
We prove some uniqueness results for weak solutions to some classes of parabolic Dirichlet problems.
The purpose of this note is to give a self contained description of Walls finiteness obstruction.
Errors quoted on results are often given in asymmetric form. An account is given of the two ways these can arise in an analysis, and the combination of asymmetric errors is discussed. It is shown that the usual method has no basis and is…
In this note a two sided bound on the tail probability of sums of independent, and either symmetric or nonnegative, random variables is obtained. We utilize a recent result by Lata{\l}a on bounds on moments of such sums. We also give a new…
In this article we present some new comparisons between the Heinz and Heron operator means, which improve some recent results known from the literature. We derive some refinements of these inequalities for unitarily invariant norms with the…
We give a sketch for an alternative proof of a recent result by J. Tseng.
We prove invariance theorems for general inequalities of different metrics and apply them to limit relations between the sharp constants in the multivariate Markov-Bernstein-Nikolskii type inequalities with the polyharmonic operator for…
In this short note, we improve the famous Reid Inequality related to linear operators.
Analogue of Springer's formula for the Poincar\'e series of the algebra invariants of ternary form is found.
We obtain formulas for the coefficients of positive and negative powers of a partial theta function.
In literature, the central limit theorems for the product of sums of various random variables have studied. The purpose of this note is to show that this kind of results are corollary of the invariance principle.
We give a new proof of the existence of designs, which is much shorter and gives better bounds.
A description of solutions of some integral equations has been obtained. A two-radii theorem is obtained as well.
We remark on the Garnier system in two variables.
In this note, we will give a short proof of an identity for cubic partitions.
In this paper we give alternate proofs of some well-known matrix inequalities. In particular, we show that under certain conditions the inequality holds \begin{align}\sum \limits_{\lambda_i\in \mathrm{Spec}(ab^{T})}\mathrm{min}\{\log…
We prove that seminormality of cut polytopes is equivalent to normality. This settles two conjectures regarding seminormality of cut polytopes.