Category:Definitions/Upper Darboux Integral
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This category contains definitions related to Upper Darboux Integral.
Related results can be found in Category:Upper Darboux Integral.
Let $\closedint a b$ be a closed real interval.
Let $f: \closedint a b \to \R$ be a bounded real function.
The upper Darboux integral of $f$ over $\closedint a b$ is defined as:
- $\ds \overline {\int_a^b} \map f x \rd x = \inf_P \map U P$
where:
- the infimum is taken over all subdivisions $P$ of $\closedint a b$
- $\map U P$ denotes the upper Darboux sum of $f$ on $\closedint a b$ belonging to $P$.
Pages in category "Definitions/Upper Darboux Integral"
The following 2 pages are in this category, out of 2 total.