Ziv's Math World

Last post

Posted on

by

zivwang

An inequality problem

Let be a continuous integrable real function on , then     Solution 1 By Cauchy-Schwarz inequality,     Solution 2 By Jensen’s inequality, since is a convex function, we have     So     Solution 3 By Hölder’s Inequality, we get     Choose , we get the case of solution 1. We…

January 2025
M T W T F S S
 12345
6789101112
13141516171819
20212223242526
2728293031  

  • An inequality problem

    Let be a continuous integrable real function on , then     Solution 1 By Cauchy-Schwarz inequality,     Solution 2 By Jensen’s inequality, since is a convex function, we have     So     Solution 3 By Hölder’s Inequality, we get     Choose , we get the case of solution 1. We

    ../..