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Jensen's Inequality: How to Use It

This video is dedicated to introducing Jensen's inequality and applications of it to establishing inequalities of various kinds. We use it to prove the arithmetic geometric mean inequality and also establish another olympiad-like inequality with it.

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S18.2 Jensen's Inequality
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S18.2 Jensen's Inequality

Induction: Inequality Proofs
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Induction: Inequality Proofs

a symmetric inequality
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a symmetric inequality

Proving Jensen's Inequality
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Proving Jensen's Inequality

Jensen's Inequality
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Jensen's Inequality

Problem-Solving Trick No One Taught You: RMS-AM-GM-HM Inequality
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Problem-Solving Trick No One Taught You: RMS-AM-GM-HM Inequality

The intuition behind Jensen's Inequality
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The intuition behind Jensen's Inequality

The Physics of Euler's Formula | Laplace Transform Prelude
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The Physics of Euler's Formula | Laplace Transform Prelude

Why Averages Are (Almost) Always Wrong: Jensen's Inequality and the Flaw of Averages
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Why Averages Are (Almost) Always Wrong: Jensen's Inequality and the Flaw of Averages

The Oldest Unsolved Problem in Math
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The Oldest Unsolved Problem in Math

Taylor series | Chapter 11, Essence of calculus
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Taylor series | Chapter 11, Essence of calculus

An Interesting Inequality
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An Interesting Inequality

1995 British Mathematics Olympiad problem
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1995 British Mathematics Olympiad problem

Jensen's Inequality : Data Science Basics
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Jensen's Inequality : Data Science Basics

How to Take the Factorial of Any Number
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How to Take the Factorial of Any Number

L24: Convex functions & Jensen's inequality | convexity, concavity & logarithm properties
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L24: Convex functions & Jensen's inequality | convexity, concavity & logarithm properties

Gershgorin Circle Theorem: Where The Eigenvalues Are!!
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Gershgorin Circle Theorem: Where The Eigenvalues Are!!

Math Olympiad / Inequalities
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Math Olympiad / Inequalities

The Riemann Hypothesis, Explained
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The Riemann Hypothesis, Explained

The Closest We’ve Come to a Theory of Everything
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The Closest We’ve Come to a Theory of Everything

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