Results 1 to 3 of 3

Math Help - Help with proving inequality

  1. #1
    Newbie
    Joined
    Mar 2008
    Posts
    2

    Help with proving inequality

    Can anyone help with suggestions for the following proof. This is for a research project I'm working on. Please let me know if you have any questions. Thanks!

    w^B+1 > (1+w)^B where 0<B<1 and 0<w
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Dec 2007
    From
    Anchorage, AK
    Posts
    276
    Have you considered using the (generalized) binomial theorem?

    --Kevin C.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Opalg's Avatar
    Joined
    Aug 2007
    From
    Leeds, UK
    Posts
    4,041
    Thanks
    7
    If f(w) = (1+w)^B - w^B then f(0) = 1 and f'(w) < 0. So the function f decreases from 1 as w increases, and thus f(w) < 1 for w > 0.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 3
    Last Post: December 12th 2010, 01:16 PM
  2. Proving inequality with a, b
    Posted in the Algebra Forum
    Replies: 5
    Last Post: January 9th 2010, 11:28 AM
  3. Proving Inequality
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: October 16th 2009, 02:51 AM
  4. Help with proving an inequality
    Posted in the Algebra Forum
    Replies: 1
    Last Post: October 9th 2009, 12:34 PM
  5. Proving inequality
    Posted in the Calculus Forum
    Replies: 1
    Last Post: April 16th 2009, 08:03 AM

Search Tags


/mathhelpforum @mathhelpforum