Related papers: Equivalent inequalities
In this survey, we review the many faces of the Hornich-Hlawka inequality. Several open problems that seem of utmost interest are mentioned.
We give a necessary and sufficient condition for a morphism between recollements of abelian categories to be an equivalence.
We prove a general inequality for more than two sequences mirroring that of the discrete two-sequence Cauchy-Schwarz.
The Simes inequality has received considerable attention recently because of its close connection to some important multiple hypothesis testing procedures. We revisit in this article an old result on this inequality to clarify and…
Companion results to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.
Positive polynomials arising from Muirhead's inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski's inequality can be rewritten as sums of squares.
We give a combinatorial extension of the classical inequalities of Maclaurin about symmetric functions of several variables. We discuss two problems - one analytical and another combinatorial - and show that they are in some sense…
[1] investigates advanced connotations of Hardy and Rellich-type inequalities on complete noncompact Riemannian manifolds, delving on deriving inequalities that incorporate poignant weight functions. These inequalities prolongate classical…
Many systems of interest to control engineering can be modeled by linear complementarity problems. We introduce a new notion of equivalence between linear complementarity problems that sets the basis to translate the powerful tools of…
The classical rearrangement inequality provides bounds for the sum of products of two sequences under permutations of terms and show that similarly ordered sequences provide the largest value whereas opposite ordered sequences provide the…
We analyze a bead sliding game and relate it to some classical convex inequalities.
We present inequalities and some applications to Kellers' limit and Carlemans' inequality.
It is widely agreed that exams must be fair; yet what this exactly means is not made clear. One may mean fairness of treatment, but this merely propagates the fairness or unfairness of pre-existing rules. Fairness of opportunity on the…
I give simple elementary proofs for some well-known Hankel determinants and their q-analogues.
In this paper, an extension of the generalized free matrix based inequality is introduced in a unified form suitable for the estimation of integrals and sums of quadratic functions. The equivalences of several known variants are shown,…
Some new sufficient conditions for the weighted Chebyshev's inequality for real numbers to hold are provided.
We obtain formulas for the coefficients of positive and negative powers of a partial theta function.
In this note, we demonstrate the convergence of the Demailly approximation of a general (weakly) upper semi-continuous weight.
Lecture notes for an introductory course in elementary particles.
We give an elementary proof to Hasse theorem.