Open AccessSIFAT-SIFAT DASAR INTEGRAL HENSTOCK
Author(s) -
Lexy J. Sinay
Publication year - 2012
Publication title -
barekeng
Language(s) - English
Resource type - Journals
eISSN - 2615-3017
pISSN - 1978-7227
DOI - 10.30598/barekengvol6iss2pp7-15
Subject(s) - riemann integral , mathematics , improper integral , riemann–stieltjes integral , daniell integral , line integral , integral equation , volume integral , mathematical analysis , integral geometry , constant (computer programming) , multiple integral , interval (graph theory) , exponential integral , riemann hypothesis , functional integration , function (biology) , constructive , pure mathematics , fourier integral operator , combinatorics , process (computing) , computer science , evolutionary biology , biology , programming language , operating system
This paper was a review about theory of Henstock integral. Riemann gave a definition of integral based on the sum of the partitions in Integration area (interval [a, b]). Thosepartitions is a -positive constant. Independently, Henstock and Kurzweil replaces - positive constant on construction Riemann integral into a positive function, ie (x)>0 forevery x[a, b]. This function is a partition in interval [a, b]. From this partitions, we can defined a new integral called Henstock integral. Henstock integral is referred to as acomplete Riemann integral, because the basic properties of the Henstock integral is more constructive than Riemann Integral.