Sharpening jensen's inequality

Author: cesl

August undefined, 2024

Webbvide a more general reﬁnement of integral Jensen’s inequality. We establish a reﬁnement of discrete Jensen’s inequality concerning certain tuples and give applications to different means. Finally, we give applications of discrete main result in information theory and providea more generalreﬁnement of discrete Jensen’s inequality. Webb19 nov. 2024 · Jensen's inequality的背景是独特的形象化的。但凡看的的懂图像的人，都能从函数图像上直观的感受到这个不等式是自然成立的，而这正是优秀的数学工作的特点——简洁而不平凡。通过它还可证明基本不等式，只需构造简单的函数关系即可，非常简单明了。除了居高临下看过往，它还可高瞻远瞩建桥梁。 Young's inequality也可 …

Sharpening Jensen

WebbDive into the research topics of 'Sharpening Jensen's Inequality'. Together they form a unique fingerprint. Sort by Weight Alphabetically Mathematics. Jensen's inequality 74%. Power Mean 38%. Moment generating function 34%. Presentation 24%. Calculus 23%. Form 12%. Business & Economics. Jensen's Inequality 100%. Moment ... Webb6 dec. 2024 · J. Liao and A. Berg. Sharpening Jensen's inequality. The American Statistician, 73 (3):278–281, 2024. J. Liu, J. Paisley, M.- A. Kioumourtzoglou, and B. Coull. Accurate uncertainty estimation and decomposition in ensemble learning. In Advances in Neural Information Processing Systems, pages 8950–8961, 2024. ooo - amta-lcg-ib infantry support group

On a Lower Bound for the Jensen Inequality SIAM Journal on ...

WebbWe obtain a scalar inequality, converse to the Jensen inequality. We also derive an op-erator converse to the Jensen inequality. As special cases, we obtain inequalities, similar to the Kantorovich one as well as some operator generalizations of them. Using some exterior algebra, we prove a generalization of the Sylvester determinant theorem. WebbSharpening Jensen's Inequality Published in: The American Statistician, June 2024 DOI: 10.1080/00031305.2024.1419145: Authors: J. G. Liao, Arthur Berg View on publisher site Alert me about new mentions. Twitter Demographics. The data shown below were collected from the profiles of 4 tweeters who shared this research output. http://personal.psu.edu/asb17/papers2/Liao,Berg_2024_The-American-Statistician.pdf iowa city thai restaurants

SharpeningJensen’s Inequality - arXiv

Webband its reverse version. We also sharpen Jensen's inequalities for positive isotonic linear functionals. 1. Introduction. In the articles [1] and [2] sharpenings of the inte-gral versions of Holder's and Jensen's inequalities were obtained. Here we improve these results using a positive isotonic functional leading Webb3 sep. 2024 · Jensen’s Inequality is a useful tool in mathematics, specifically in applied fields such as probability and statistics. For example, it is often used as a tool in … o−o−o angle of o3 cheggWebb28 apr. 2024 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this site iowa city summer of the arts

"WebbIn this paper we introduce a new mapping connected with the classical inequality due to Jensen and point out its main properties. Some applications related to well-known inequalities are also established. " - Sharpening jensen's inequality

Sharpening jensen's inequality

WebbSharpening Jensen's Inequality Liao, J. G. ; Berg, Arthur This paper proposes a new sharpened version of the Jensen's inequality. The proposed new bound is simple and insightful, is broadly applicable by imposing minimum assumptions, and provides fairly accurate result in spite of its simple form. WebbThe main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green functions and considerin

Did you know?

WebbDragomir, Sever S ORCID: 0000-0003-2902-6805 (2024) Refining Jensen's Integral Inequality for Partition of Weights. Libertas Mathematica (new series), 37 (1). 25 - 44. ISSN 0278-5307 Webb10 dec. 2024 · The Jensen inequality is one of the most famous and most important inequalities in math- ematical analysis. In [ 2 ], some estimates about the sharpness of …

Webb1 sep. 2024 · This post is all about Jensen’s inequality, an elementary but powerful result about convex functions. It comes up all over the place in mathematics, probably because the concept of convexity is itself so fundamental. I ran into it recently as I was thinking about relative entropy and why it is so well behaved; I think a lot of it comes down to the …

Webb10 nov. 2024 · Abstract and Figures In this study, we propose a new bound for Jensen's inequality. Under certain conditions, it is an ultimate bound equal to the Jensen gap. To … WebbHowever, applying Jensen on log-sums in Ie and £(XIE» is not as straightforward. Some terms in these expressions involve negative log-sums and so Jensen is actually solving for an upper bound on those terms. If we want overall lower and upper bounds on Ie and £(XIE», we need to compute reverse-Jensen bounds. 5 Reverse-Jensen Bounds

WebbSharpening Jensen's Inequality J. Liao, Arthur Berg Mathematics The American Statistician 2024 Abstract This article proposes a new sharpened version of Jensen's inequality. The proposed new bound is simple and insightful, is broadly applicable by imposing minimum assumptions, and provides… Expand 50 PDF View 1 excerpt, references background

Webb3 sep. 2024 · In this study, we propose a new bound for Jensen's inequality. Under certain conditions, it is an ultimate bound equal to the Jensen gap. To the best of our … ooo - amta-lci-s sourcingWebbReduce inequality within and among countries - United Nations Sustainable Development. Home. About. Goals. Take Action. Partnerships. News and Media. Learn more. UN 2024 Water Conference. ooo arlift interneshnlWebb1 Answer. Yes Jensen inequality holds for multiple variable. We can find a general formulation in the mesure theoretic article in Wikipedia. "Let (Ω, A, μ) be a measure space, such that μ (Ω) = 1. If g is a real-valued function that is μ-integrable, and if g is a convex function on the real line. This generalizable for convex function on ... ooo archie asia tradeWebbIn particular, just as the Jensen inequality becomes an equality when ϕ is linear, for the new inequality we obtain an equality also when ϕ is quadratic. At the heart of the paper is an apparent new technique for improving classical inequalities based on nonlinear functions. MSC codes analytic function convex function Jensen gap power series iowa city texas countyWebbFurther sharpening of Jensen's inequality Sang Kyu Lee a Department of Statistics and Probability, Michigan State University, East Lansing, MI, USA View further author … ooo archivesWebbSharpeningJensen’s Inequality J. G. Liao and Arthur Berg Division of Biostatistics and Bioinformatics Penn State University College of Medicine October 26, 2024 Abstract This … ooo angdar trustWebbThe main aim of this paper is to give an improvement of the recent result on the sharpness of the Jensen inequality. The results given here are obtained using different Green … iowa city tenants union