Two propositions in elementary real analysis. (Hungarian) Zbl 0624.26002
The author gives a necessary and sufficient condition for the validity of the equality
\[
\int^{+\infty}_{0}f(x) dx=\lim_{h\to 0+}\sum^{\infty}_{k=1}f(kh)h
\]
with many applications (e.g. in calculating integrals, partial fraction representations, etc.).
Reviewer: A.Császár
MSC:
26A06 | One-variable calculus |