Jensen integral inequality

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Jensen integral inequality

2020年10月23日 — PDF | There are a lot of refinements of the discrete Jensen's inequality, and this problem has been studied by many authors. It is also a natural. ,PDF | We prove generalizations of Jensen's integral inequality for proper convex functions defined on a finite- or infinite-dimensional convex set in a... | Find ... ,2020年11月14日 — PDF | In this paper we give a refinement of Jensen's integral inequality and its generalization for linear functionals. We also present some. ,2012年8月16日 — There are a lot of refinements of the discrete Jensen's inequality, and this problem has been studied by many authors. It is also a natural ... ,In order to provide a reverse of the celebrated Jensen's integral inequality for convex functions, S. S. Dragomir obtained in 2002 [37] the following result:. ,We present here some new integral inequalities of Jensen's type for these classes of functions. A refinement of companion inequality to Jensen's inequality ... ,2020年6月5日 — Jensen's integral inequality for a convex function f is: f(∫Dλ(t)x(t)dt)≤∫Dλ(t)f(x(t))dt,. where x(D)⊂C, λ(t)≥0 for t∈D and. ∫Dλ(t)dt=1. Equality ... , ,First of all, Jensen's inequality requires a domain, X, where ∫Xdx=1. Next, suppose that φ is convex on the convex hull of the range of f, K(f(X)); this means that ... ,Jensen Inequality. Theorem 1. Let f be an integrable function defined on [a, b] and let φ be a continuous (this is not needed) convex function defined at least on ...

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Jensen integral inequality 相關參考資料
(PDF) A refinement of the integral form of Jensen's inequality

2020年10月23日 — PDF | There are a lot of refinements of the discrete Jensen's inequality, and this problem has been studied by many authors. It is also a natural.

https://www.researchgate.net

(PDF) Jensen's integral inequality in locally convex spaces

PDF | We prove generalizations of Jensen's integral inequality for proper convex functions defined on a finite- or infinite-dimensional convex set in a... | Find ...

https://www.researchgate.net

(PDF) Refinement of the Jensen integral inequality

2020年11月14日 — PDF | In this paper we give a refinement of Jensen's integral inequality and its generalization for linear functionals. We also present some.

https://www.researchgate.net

A refinement of the integral form of Jensen's inequality ...

2012年8月16日 — There are a lot of refinements of the discrete Jensen's inequality, and this problem has been studied by many authors. It is also a natural ...

https://journalofinequalitiesa

General Lebesgue integral inequalities of Jensen and ... - CORE

In order to provide a reverse of the celebrated Jensen's integral inequality for convex functions, S. S. Dragomir obtained in 2002 [37] the following result:.

https://core.ac.uk

Integral Inequalities Involving Strongly Convex Functions

We present here some new integral inequalities of Jensen's type for these classes of functions. A refinement of companion inequality to Jensen's inequality ...

https://www.hindawi.com

Jensen inequality - Encyclopedia of Mathematics

2020年6月5日 — Jensen's integral inequality for a convex function f is: f(∫Dλ(t)x(t)dt)≤∫Dλ(t)f(x(t))dt,. where x(D)⊂C, λ(t)≥0 for t∈D and. ∫Dλ(t)dt=1. Equality ...

https://encyclopediaofmath.org

Jensen's inequality - Wikipedia

https://en.wikipedia.org

Jensen's inequality for integrals - Mathematics Stack Exchange

First of all, Jensen's inequality requires a domain, X, where ∫Xdx=1. Next, suppose that φ is convex on the convex hull of the range of f, K(f(X)); this means that ...

https://math.stackexchange.com

Jensen's Integral Inequality

Jensen Inequality. Theorem 1. Let f be an integrable function defined on [a, b] and let φ be a continuous (this is not needed) convex function defined at least on ...

https://sites.math.washington.