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Jensen's inequality - Wikipedia

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In a time when trusting online information is more challenging than ever, we invite you to place your trust in the millions of individuals who have worked tirelessly from day one to add, edit, and meticulously fact-check content on Wikipedia. Their dedication ensures that the information you seek is accurate and reliable. Wikipedia thrives on the passion and collaboration of these countless volunteers worldwide. Please join the 2% of readers who give what they can to help keep Wikipedia strong and growing. Thank you. Proud host of Wikipedia and its sister sites In mathematics, Jensen's inequality, named after the Danish mathematician Johan Jensen, relates the value of a convex function of an integral to the integral of the convex function. It was proved by Jensen in 1906,[1] building on an earlier proof of the same inequality for doubly-differentiable functions by Otto Hölder in 1889.[2] Given its generality, the inequality appears in many forms depending on the context, some of which

Jensen's inequality - Wikipedia Jump to content From Wikipedia, the free encyclopedia Theorem of convex functions For Jensen's inequality for analytic functions, see Jensen's formula . Not to be confused with Janson inequality . This article needs more citations . Please help improve this article by adding citations to reliable sources . Unsourced material may be challenged and removed . Find sources: "Jensen's inequality" – news · newspapers · books · scholar · JSTOR ( October 2011 ) ( Learn how and when to remove this message ) Jensen's inequality generalizes the statement that a secant line

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