August 8th, 2017, 04:42 AM  #1  
Senior Member Joined: Feb 2016 From: Australia Posts: 1,518 Thanks: 506 Math Focus: Yet to find out.  Convex function Quote:
 
August 9th, 2017, 11:02 PM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,518 Thanks: 506 Math Focus: Yet to find out.  
August 16th, 2017, 06:52 AM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 2,959 Thanks: 801 
When $\displaystyle \lambda$ is 0, $\displaystyle \lambda x+ (1 \lambda)y= (0)x+ (1)y$ is just y. When $\displaystyle \lambda$ is 1, $\displaystyle \lambda x+ (1 \lambda)y= (1)x+ (0)y$ is just x. Since that is a linear formula, as $\displaystyle \lambda$ goes from 0 to 1, the point moves on the straight line from y to x.
Last edited by greg1313; August 16th, 2017 at 08:02 AM. 
August 16th, 2017, 04:40 PM  #4  
Senior Member Joined: Feb 2016 From: Australia Posts: 1,518 Thanks: 506 Math Focus: Yet to find out.  Quote:
 

Tags 
convex, function 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
A convex function question  frozenfish  Calculus  1  September 10th, 2013 07:31 AM 
Concave Function of a Convex Function  swagatopablo  Algebra  0  October 10th, 2012 11:49 PM 
Convex set, convex function  Vasily  Applied Math  1  June 30th, 2012 03:57 PM 
Showing a Function is Convex  coolhandluke  Applied Math  2  February 16th, 2012 07:47 AM 
Convex function  MathFreak  Calculus  1  October 20th, 2011 09:04 PM 