Lema de Fatou

Fatou's lemma - inequality relating the Lebesgue integral of the limit inferior of a sequence of functions to the limit inferior of integrals of these functions. Article “Lema de Fatou” in Spanish Wikipedia has 9.1 points for quality (as of July 1, 2025). The article contains 0 references and 7 sections.

This article has the best quality in English Wikipedia. Also, this article is the most popular in that (Spanish) language version.

Since the creation of article “Lema de Fatou”, its content was written by 4 registered users of Spanish Wikipedia and edited by 288 registered Wikipedia users in all languages.

The article is cited 2 times in Spanish Wikipedia and cited 261 times in all languages.

The highest Authors Interest rank from 2001:

• Local (Spanish): #22389 in April 2015
• Global: #43867 in January 2009

The highest popularity rank from 2008:

• Local (Spanish): #249850 in November 2024
• Global: #190524 in November 2021

There are 16 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

#	Language	Quality grade	Quality score
1	English (en) Fatou's lemma		32.2512
2	Russian (ru) Лемма Фату		24.1289
3	Chinese (zh) 法图引理		16.7847
4	Italian (it) Lemma di Fatou		14.6754
5	Japanese (ja) ファトゥの補題		14.4526
6	French (fr) Lemme de Fatou		13.0706
7	Korean (ko) 파투 보조정리		10.8545
8	Polish (pl) Lemat Fatou		9.3781
9	Spanish (es) Lema de Fatou		9.0555
10	German (de) Lemma von Fatou		8.9253

More...

The following table shows the most popular language versions of the article.

The most popular language versions of the article "Lema de Fatou" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Fatou's lemma		766 677
2	French (fr) Lemme de Fatou		182 830
3	German (de) Lemma von Fatou		152 587
4	Italian (it) Lemma di Fatou		59 493
5	Russian (ru) Лемма Фату		58 410
6	Japanese (ja) ファトゥの補題		44 387
7	Polish (pl) Lemat Fatou		36 831
8	Chinese (zh) 法图引理		27 140
9	Spanish (es) Lema de Fatou		23 805
10	Portuguese (pt) Lema de Fatou		16 738

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The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Lema de Fatou" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Fatou's lemma		3 645
2	French (fr) Lemme de Fatou		898
3	German (de) Lemma von Fatou		567
4	Russian (ru) Лемма Фату		482
5	Japanese (ja) ファトゥの補題		384
6	Italian (it) Lemma di Fatou		371
7	Spanish (es) Lema de Fatou		291
8	Chinese (zh) 法图引理		173
9	Polish (pl) Lemat Fatou		122
10	Portuguese (pt) Lema de Fatou		84

More...

The following table shows the language versions of the article with the highest Authors’ Interest.

Language versions of the article "Lema de Fatou" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Fatou's lemma		58
2	German (de) Lemma von Fatou		37
3	French (fr) Lemme de Fatou		35
4	Italian (it) Lemma di Fatou		30
5	Russian (ru) Лемма Фату		25
6	Hebrew (he) הלמה של פאטו		20
7	Polish (pl) Lemat Fatou		14
8	Japanese (ja) ファトゥの補題		11
9	Dutch (nl) Lemma van Fatou		11
10	Portuguese (pt) Lema de Fatou		9

More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

Language versions of the article "Lema de Fatou" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	Swedish (sv) Fatous lemma		1
2	German (de) Lemma von Fatou		0
3	English (en) Fatou's lemma		0
4	Spanish (es) Lema de Fatou		0
5	French (fr) Lemme de Fatou		0
6	Hebrew (he) הלמה של פאטו		0
7	Italian (it) Lemma di Fatou		0
8	Japanese (ja) ファトゥの補題		0
9	Korean (ko) 파투 보조정리		0
10	Dutch (nl) Lemma van Fatou		0

More...

The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Lema de Fatou" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Fatou's lemma		159
2	Japanese (ja) ファトゥの補題		13
3	German (de) Lemma von Fatou		11
4	French (fr) Lemme de Fatou		11
5	Italian (it) Lemma di Fatou		9
6	Korean (ko) 파투 보조정리		9
7	Polish (pl) Lemat Fatou		9
8	Russian (ru) Лемма Фату		9
9	Ukrainian (uk) Лема Фату		9
10	Chinese (zh) 法图引理		6

More...

#	Language	Value
de	German Lemma von Fatou
en	English Fatou's lemma
es	Spanish Lema de Fatou
fr	French Lemme de Fatou
he	Hebrew הלמה של פאטו
it	Italian Lemma di Fatou
ja	Japanese ファトゥの補題
ko	Korean 파투 보조정리
nl	Dutch Lemma van Fatou
pl	Polish Lemat Fatou
pt	Portuguese Lema de Fatou
ru	Russian Лемма Фату
sv	Swedish Fatous lemma
uk	Ukrainian Лема Фату
vi	Vietnamese Bổ đề Fatou
zh	Chinese 法图引理

Best Rank

Spanish: #249850 11.2024

Global: #190524 11.2021

Best Rank

Spanish: #22389 04.2015

Global: #43867 01.2009

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The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information