Convexity inequality
In particular, we show the one-to-one correspondence between inequalities such as (2) and continuous convex functions j: [0, +oo) -> 1R such that lim,+OO j (t)/t ... ,This result, known as Jensen's inequality, can be used to deduce inequalities such as the arithmetic–geometric mean inequality and Hölder's inequality. Contents.
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Convexity inequality 相關參考資料
A convexity inequality
A convexity inequality. Paolo Roselli ∗. Michel Willem. December 7,2000. 1 Introduction. Jensen's inequality for concave functions. ∫ J (f) dµ ≤ J (∫ fdµ). (1). https://sites.uclouvain.be A Convexity Inequality - JStor
In particular, we show the one-to-one correspondence between inequalities such as (2) and continuous convex functions j: [0, +oo) -> 1R such that lim,+OO j (t)/t ... https://www.jstor.org Convex function - Wikipedia
This result, known as Jensen's inequality, can be used to deduce inequalities such as the arithmetic–geometric mean inequality and Hölder's inequality. Contents. https://en.wikipedia.org Convexity
Convexity. Po-Shen Loh. 25 June 2008. 1 Warm-up. Sharpening inequalities can help to reduce the number of variables. Prove that inequality (2) is sharper. https://www.math.cmu.edu Convexity, Inequalities, and Norms - Bard Faculty
Convexity, Inequalities, and Norms. Convex Functions. You are probably familiar with the notion of concavity of functions. Given a twice- differentiable function ϕ: ... http://faculty.bard.edu Convexity, Jensen's Inequality | SpringerLink
This is an inequality regarding so-called convex functions, so firstly we will give some definitions and theorems whose proofs are subject to mathematical ... https://link.springer.com Exponential type convexity and some related inequalities ...
2020年3月30日 — We prove two Hermite–Hadamard (H-H) type integral inequalities for the ... Some refinements of the H-H inequality for convex functions have ... https://journalofinequalitiesa Jensen's inequality - Wikipedia
https://en.wikipedia.org Lecture 3 Convex functions
2017年5月3日 — The simplest example of a convex function is an affine function. f(x) = aT x + b. – the sum of a linear form and a constant. This function clearly is convex on the entire space, and the “... https://ljk.imag.fr Notes on Convexity Inequalities 1 Facts from Convex Analysis
These inequalities are usually obvious by plotting them, and proving them just uses basic calculus. 1 Facts from Convex Analysis. Let f : S → R be a function ... http://www.cs.ubc.ca |