The STUDIA UNIVERSITATIS BABE┼×-BOLYAI issue article summary

The summary of the selected article appears at the bottom of the page. In order to get back to the contents of the issue this article belongs to you have to access the link from the title. In order to see all the articles of the archive which have as author/co-author one of the authors mentioned below, you have to access the link from the author's name.

 
       
         
    STUDIA MATHEMATICA - Issue no. 2 / 2013  
         
  Article:   A SIMPLE PROOF OF THE FUNDAMENTAL THEOREM OF CALCULUS FOR THE LEBESGUE INTEGRAL.

Authors:  .
 
       
         
  Abstract:  

This paper contains a new elementary proof of the Fundamental Theorem of Calculus for the Lebesgue integral. The hardest part of our proof simply concerns the convergence in L1 of a certain sequence of step functions, and we prove it using only basic elements from Lebesgue integration theory.

Mathematics Subject Classification (2010): 26A46, 26A36.

Keywords: Fundamental theorem of calculus, Lebesgue integral, absolute continuity.

 
         
     
         
         
      Back to previous page