Related papers: Golden-Thompson from Davis
We present a stability version of H\"older's inequality, incorporating an extra term that measures the deviation from equality. Applications are given.
An inequality, which combines the concept of completely monotone functions with the theory of divided differences, is proposed. It is a straightforward generalization of a result, recently introduced by two of the present authors.
We prove some special cases of Bergeron's inequality involving two Gaussian polynomials (or $q$-binomials).
We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.
In the paper, we establish an inequality involving the gamma and digamma functions and use it to prove the negativity and monotonicity of a function involving the gamma and digamma functions.
We revisit and slightly modify the proof of the Gaussian Hanson-Wright inequality where we keep track of the absolute constant in its formulation.
In this short note we improve the best to date bound in Godbersen's conjecture, and show some implications for unbalanced difference bodies.
We prove Davis decompositions for vector valued Hardy martingales and illustrate their use. This paper continues our previous work on Davis and Garsia inequalities for scalar Hardy martingales.
In this paper, new inequalities connected with the celebrated Steffensen's integral inequality are proved.
The aim of this article is to establish new two-functions minimax inequalities extending classical results such as Simons' minimax theorem. Our results will be proved in a non-compact setting. We also prove, under general conditions, that…
The paper presents a counterexample to the Hodge conjecture.
We survey classical and recent results on exponents of Diophantine approximation. We give only a few proofs and highlight several open problems.
We give a new proof of the existence of designs, which is much shorter and gives better bounds.
We give a q-analogue of Gauss' divisibility theorem
A very short proof of G\"odel's second incompleteness theorem (for set theory, second order arithmetic etc.)
In this paper we shall prove a sharpened version of the Finsler-Hadwiger inequality which is a strong generalization of Weitzenbock inequality. After that we give another refinement of this inequality and in the final part we provide some…
This paper has been withdrawn by the author, due to a crucial error in the proof of Thm.1
We provide a new simple and transparent proof of the version of Kummer's test given in [Tong, J. (1994). Amer. Math. Monthly. 101(5): 450--452]. Our proof is based on an application of a Hardy--Littlewood Tauberian theorem.
Short proof of the aperiodicity of the Robinson tile set.
We prove an easy but very weak version of Chernoff inequality. Namely, that the probability that in $6M$ throws of a fair coin, one gets at most $M$ heads is $\leq 1/2^M$.