Note on the integrability conditions of $(\varphi ,\,\psi)$-structures
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چکیده
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A Note on Riemann Integrability
In this note we define Riemann integrabillty for real valued functions defined on a compact metric space accompanied by a finite Borel measure. If the measure of each open ball equals the measure of its corresponding closed ball, then a bounded function is Riemann integrable if and only if its set of points of discontinuity has measure zero. Let denote the algebra of sets generated by the open ...
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1966
ISSN: 0040-8735
DOI: 10.2748/tmj/1178243378