My Math Forum  

Go Back   My Math Forum > College Math Forum > Applied Math

Applied Math Applied Math Forum

LinkBack Thread Tools Display Modes
February 14th, 2012, 11:22 AM   #1
Joined: Mar 2010

Posts: 51
Thanks: 0

Showing a Function is Convex

My homework question is to show that the following function is strictly convex. I'm not asking someone to work it out for me, but how do I show it... if I take all second derivatives, this gives me a function for each. Help!

coolhandluke is offline  
February 15th, 2012, 11:44 AM   #2
Joined: Dec 2011

Posts: 15
Thanks: 0

Re: Showing a Function is Convex

Let g and h be strictly convex functions an g increasing. You can easily show that their combination goh is also strictly convex.
In this case and .
scream is offline  
February 16th, 2012, 06:47 AM   #3
Global Moderator
CRGreathouse's Avatar
Joined: Nov 2006
From: UTC -5

Posts: 16,046
Thanks: 937

Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms
Re: Showing a Function is Convex

Just in case it's not clear, goh means g(h(x)). The o is function composition.
CRGreathouse is offline  

  My Math Forum > College Math Forum > Applied Math

convex, function, showing

Search tags for this page
Click on a term to search for related topics.
Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
showing given function is nowhere differentiable WWRtelescoping Complex Analysis 2 February 25th, 2014 07:58 PM
A convex function question frozenfish Calculus 1 September 10th, 2013 06:31 AM
Showing function is summable. Kramer Real Analysis 3 August 28th, 2013 09:01 AM
Convex set, convex function Vasily Applied Math 1 June 30th, 2012 02:57 PM
Convex function MathFreak Calculus 1 October 20th, 2011 08:04 PM

Copyright © 2018 My Math Forum. All rights reserved.