Related papers: Equivalent inequalities
An argument is provided for the equality case of the high dimensional Bonnesen inequality for sections. The known equality case of the Bonnesen inequality for projections is presented as a consequence.
We provide elementary proof of several congruences involving single sum and multisums of binomial coefficients.
In this talk, some aspects of duality symmetries are presented.
We discuss the use of inequalities to obtain the solution of certain variational problems on time scales.
This is an expanded version of the Notices of the AMS column with the same title. The text is unchanged, but we added acknowledgements and a large number of endnotes which provide the context and the references.
A systematic procedure for generating certain identities involving elementary symmetric functions is proposed. These identities, as particular cases, lead to new identities for binomial and q-binomial coefficients.
We give necessary and sufficient conditions for the Chebyshev inequality to be an equality.
We give an explicit description of the basic solutions of max-linear systems with two inequalities.
The purpose of this paper is to provide a random version of Simons' inequality.
We give an elementary estimate that entails and generalises numerous Korn inequalities scattered in the literature. As special instances, we obtain general Korn-type inequalities involving normal or tangential trace components, or lower…
We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.
We obtain generalisations of some inequalities for positive unital linear maps on matrix algebra. This also provides several positive semidefinite matrices and we get some old and new inequalities involving the eigenvalues of a Hermitian…
In the present paper we establish some new integral inequalities analogous to the well known Hadamard inequality by using a fairly elementary analysis.
We obtain some new inequalities of Chebyshev Type.
Identities and inequalities for the cosine and sine functions are obtained.
In this article we derive some polynomial inequalities for Mertens functions.
We review principal results on axiomatizability of classes of lattices of equivalences
We show that the intuitionistic first-order theory of equality has continuum many complete extensions. We also study the Vitali equivalence relation and show there are many intuitionistically precise versions of it.
We show the existence of equivalence classes for large deviations. Stochastic dynamics within an equivalence class share the same large deviation properties.
We provide an overview of the connections between Bell's inequalities and algebraic structure.