Monotone convergence theorem
id:
monotone-convergence-theorem-171-6800825
title:
Monotone convergence theorem
text:
In the mathematical field of real analysis, the monotone convergence theorem is any of a number of related theorems proving the good convergence behaviour of monotonic sequences, i.e. sequences that are non-increasing, or non-decreasing. In its simplest form, it says that a non-decreasing bounded-above sequence of real numbers a 1 ≤ a 2 ≤ a 3 ≤... ≤ K converges to its smallest upper bound, its supremum. Likewise, a non-increasing bounded-below sequence converges to its largest lower bound, its i
brand slug:
wiki
category slug:
encyclopedia
description:
Theorems on the convergence of bounded monotonic sequences
original url:
https://en.wikipedia.org/wiki/Monotone_convergence_theorem
date created:
2002-11-12T06:41:31Z
date modified:
2024-09-01T11:56:51Z
main entity:
{"identifier":"Q1153584","url":"https://www.wikidata.org/entity/Q1153584"}
image:
fields total:
13
integrity:
15