INTEGRATION BY PARTS FOR THE HENSTOCK-STIELTJES INTEGRALS

  • Kim, Yung Jin (DEPARTMENT OF MATHEMATICS CHUNGBUK NATIONAL UNIVERSITY)
  • Received : 1997.06.18
  • Published : 1997.07.31

Abstract

In this paper, we investigate continuity of $$F(x)=(H){\int}_a^x\;fdG$$ and Henstock-Stieltjes integrability of product of two functions and obtain the formula of integration by parts for the Henstock-Stieltjes integral.

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