monotone convergence theorem

proper noun

A theorem which states that any sequence which is monotonic (either increasing or decreasing) and bounded is convergent.

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Meanings

proper nounthe monotone convergence theorem
  1. mathematical analysisA theorem which states that any sequence which is monotonic (either increasing or decreasing) and bounded is convergent.
Cite this entry
APA

monotone convergence theorem. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/monotone%20convergence%20theorem

MLA

“monotone convergence theorem.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/monotone%20convergence%20theorem. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “monotone convergence theorem,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/monotone%20convergence%20theorem.

Source: monotone convergence theorem on Wiktionary, CC BY-SA 4.0.