Application of Jensen's inequality | Ashish Khare Sir

2022/12/23 に公開
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Application of Jensen's inequality | Ashish Khare Sir

A common application of the inequality is in the comparison of arithmetic and geometric means when averaging the financial returns for a time interval.
Jensen inequality states that the convex transformation of a mean is less than or equal to the mean applied after convex transformation; it is a simple corollary that the opposite is true of concave transformations.
Jensen's inequality generalizes the statement that the secant line of a convex function lies above the graph of the function, which is Jensen's inequality for two points: the secant line consists of weighted means of the convex function.
Jensen's inequality is an inequality involving convexity of a function. In this lecture series you will learn the complete details about Jensen Inequality from Ashish Khare Sir for IIT JEE. It is one of the most important topics of the IIT JEE Maths question paper - in IIT JEE Advanced and JEE Mains as well.
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