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Darboux integral: Revision history

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10 April 2026

9 April 2026

28 March 2026

  • curprev 15:2915:29, 28 March 2026 InfernalAtom683 talk contribs 1,766 bytes +1,766 Created page with "The '''Darboux integral''' is a formulation of integration in real analysis defined using upper and lower sums over partitions of an interval. It provides an order-theoretic approach to integration and is equivalent to the Riemann integral. == Definition == === Darboux sums === Let <math>f:[a,b]\to\mathbb{R}</math> be a bounded function. Let <math display="block"> P=\{x_0,x_1,\dots,x_n\}, \quad a=x_0 < x_1 < \cdots < x_n=b </math> be a partition of the interval..." Tag: Visual edit: Switched