Results 1 to 2 of 2

Math Help - integrable funtion

  1. #1
    Newbie
    Joined
    Dec 2009
    Posts
    24

    integrable funtion

    it might not be all that difficult but i cant see it so please help me on this.
    If f_n \rightarrow f in measure and |f_n|\leq g where g is a integrable function, then \int |f_n-f| is integrable?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Nov 2009
    Posts
    263

    Smile

    Quote Originally Posted by PRLM View Post
    it might not be all that difficult but i cant see it so please help me on this.
    If f_n \rightarrow f in measure and |f_n|\leq g where g is a integrable function, then \int |f_n-f| is integrable?
    see this http://www.mathhelpforum.com/math-he...-integral.html
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. f & g Riemann integrable, show fg is integrable
    Posted in the Differential Geometry Forum
    Replies: 4
    Last Post: February 12th 2011, 09:19 PM
  2. Is a bounded integrable function square integrable?
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: May 28th 2010, 06:26 PM
  3. Prove that if f is integrable then kf is integrable.
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: March 9th 2010, 12:35 PM
  4. integrable funtion and uniform convergence
    Posted in the Differential Geometry Forum
    Replies: 10
    Last Post: December 30th 2009, 09:14 PM
  5. [SOLVED] f integrable implies f^2 integrable
    Posted in the Differential Geometry Forum
    Replies: 15
    Last Post: June 8th 2009, 10:53 PM

Search Tags


/mathhelpforum @mathhelpforum