Related papers: Burkholder inequality by Bregman divergence
We state and prove a Cheeger-like inequality for coexact 1-forms on closed orientable Riemannian manifolds.
We provide a proof of a variant of the Landau-Siegel Zeros conjecture.
We prove a sharp integral inequality for the dyadic maximal operator due to which the evaluation of the Bellman function of this operator with respect to two variables is possible, as can be seen in [3]. Our inequality of interest is proved…
In this article we present Pickands theorem and his double sum method. We follow Piterbarg's proof of this theorem. Since his proof relies on general lemmas we present a complete proof of Pickands theorem using Borell inequality and Slepian…
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…
We extend a result of Levin and Ste\v{c}kin concerning an inequality analogous to Hardy's inequality.
The aim of this work is to extend Becker-Stark inequalities near the origin and {\pi}/2.
In this paper, we prove some inequalities for the differences and ratios of the beta function.
The article presents the proof of Casas-Alvero conjecture.
An approximation result for the bilinear Hilbert transform is proved and used for the inversion of the bilinear Hilbert transform. Also, p-Lebesgue points $(p\geq 1)$ are analyzed.
We strengthen H\"older's inequality. The new family of sharp inequalities we obtain might be thought of as an analog of Pythagorean theorem for the $L^p$ spaces. Our reasonings rely upon Bellman functions of four variables.
Companion results to the Bombieri generalisation of Bessel's inequality in inner product spaces are given.
A sharp quantitative polygonal isoperimetric inequality is obtained.
In this paper we study upper and lower bounds on the Bregman divergence $\Delta_{\mathcal{F}}^{\xi}(y,x):=\mathcal{F}(y)-\mathcal{F}(x)-\langle \xi, y-x\rangle $ for some convex functional $\mathcal{F}$ on a normed space $\mathcal{X}$, with…
We present new bounds for the Berezin number inequalities which improve on the existing bounds. We also obtain bounds for the Berezin norm of operators as well as the sum of two operators.
We establish the convergence of the forward-backward splitting algorithm based on Bregman distances for the sum of two monotone operators in reflexive Banach spaces. Even in Euclidean spaces, the convergence of this algorithm has so far…
In this paper we show an index theorem for gerbes
We prove some Hardy-type inequalities via an approach that involves constructing auxiliary sequences.
Equivalencies of many basic elementary inequalities are given
In this paper we prove the WALA conjecture.