Open AccessALMOST RIEMANN INTEGRABLE FUNCTIONS
Author(s) -
M. Damlakhi
Publication year - 1995
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.26.1995.4400
Subject(s) - integrable system , mathematics , locally integrable function , bounded function , pure mathematics , riemann hypothesis , class (philosophy) , function (biology) , interval (graph theory) , mathematical analysis , combinatorics , artificial intelligence , evolutionary biology , computer science , biology
An arbitrary function $f$ on a bounded interval $[a,b]$ is termed an almost $R$-integrable function if there exists a Riemann integrable function $g$ such that $f =g$ a.e. In this note a characterization of the class of almost $R$-integrable
functions is obtained.