Grönwall's inequality

en

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Grönwall's inequality

Quality:

Gronwall's inequality - theorem that gives bounds on integrals of functions. Article “Grönwall's inequality” in English Wikipedia has 25.4 points for quality (as of July 1, 2025). The article contains 4 references and 11 sections.

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

Since the creation of article “Grönwall's inequality”, its content was written by 49 registered users of English Wikipedia and edited by 211 registered Wikipedia users in all languages.

The article is cited 31 times in English Wikipedia and cited 118 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #60973 in April 2005
  • Global: #40112 in September 2005

The highest popularity rank from 2008:

  • Local (English): #191766 in April 2025
  • Global: #232660 in April 2025

There are 14 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.

Languages with the highest quality

#LanguageQuality gradeQuality score
1English (en)
Grönwall's inequality
25.4297
2Russian (ru)
Лемма Гронуолла — Беллмана
16.4764
3Italian (it)
Lemma di Gronwall
16.283
4Ukrainian (uk)
Лема Гронуолла — Беллмана
16.2037
5Chinese (zh)
格朗沃尔不等式
16.1097
6Polish (pl)
Nierówność Grönwalla
14.9219
7Persian (fa)
نابرابری گرانوال
14.6193
8Japanese (ja)
グロンウォールの不等式
11.4038
9Spanish (es)
Lema de Gronwall
8.897
10German (de)
Gronwallsche Ungleichung
8.06
More...

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

Most popular in all the time

The most popular language versions of the article "Grönwall's inequality" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Grönwall's inequality
704 428
2French (fr)
Lemme de Grönwall
145 836
3German (de)
Gronwallsche Ungleichung
104 576
4Japanese (ja)
グロンウォールの不等式
46 649
5Russian (ru)
Лемма Гронуолла — Беллмана
40 095
6Spanish (es)
Lema de Gronwall
30 431
7Chinese (zh)
格朗沃尔不等式
29 056
8Italian (it)
Lemma di Gronwall
26 252
9Portuguese (pt)
Lema de Grönwall
16 426
10Polish (pl)
Nierówność Grönwalla
11 262
More...

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

Most popular in June 2025

The most popular language versions of the article "Grönwall's inequality" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Grönwall's inequality
4 278
2French (fr)
Lemme de Grönwall
1 092
3German (de)
Gronwallsche Ungleichung
492
4Japanese (ja)
グロンウォールの不等式
390
5Russian (ru)
Лемма Гронуолла — Беллмана
359
6Italian (it)
Lemma di Gronwall
252
7Chinese (zh)
格朗沃尔不等式
209
8Spanish (es)
Lema de Gronwall
145
9Polish (pl)
Nierówność Grönwalla
127
10Portuguese (pt)
Lema de Grönwall
51
More...

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

The highest AI

Language versions of the article "Grönwall's inequality" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Grönwall's inequality
49
2French (fr)
Lemme de Grönwall
41
3German (de)
Gronwallsche Ungleichung
31
4Hebrew (he)
הלמה של גרנוול
17
5Japanese (ja)
グロンウォールの不等式
12
6Russian (ru)
Лемма Гронуолла — Беллмана
12
7Polish (pl)
Nierówność Grönwalla
9
8Ukrainian (uk)
Лема Гронуолла — Беллмана
9
9Italian (it)
Lemma di Gronwall
8
10Spanish (es)
Lema de Gronwall
6
More...

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

The highest AI in June 2025

Language versions of the article "Grönwall's inequality" with the highest AI in June 2025
#LanguageAI awardRelative AI
1French (fr)
Lemme de Grönwall
1
2Arabic (ar)
متباينة غرونفل
0
3German (de)
Gronwallsche Ungleichung
0
4English (en)
Grönwall's inequality
0
5Spanish (es)
Lema de Gronwall
0
6Persian (fa)
نابرابری گرانوال
0
7Hebrew (he)
הלמה של גרנוול
0
8Italian (it)
Lemma di Gronwall
0
9Japanese (ja)
グロンウォールの不等式
0
10Polish (pl)
Nierówność Grönwalla
0
More...

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

The highest CI

Language versions of the article "Grönwall's inequality" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Portuguese (pt)
Lema de Grönwall
44
2English (en)
Grönwall's inequality
31
3German (de)
Gronwallsche Ungleichung
9
4French (fr)
Lemme de Grönwall
7
5Arabic (ar)
متباينة غرونفل
6
6Spanish (es)
Lema de Gronwall
3
7Italian (it)
Lemma di Gronwall
3
8Russian (ru)
Лемма Гронуолла — Беллмана
3
9Ukrainian (uk)
Лема Гронуолла — Беллмана
3
10Hebrew (he)
הלמה של גרנוול
2
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
متباينة غرونفل
deGerman
Gronwallsche Ungleichung
enEnglish
Grönwall's inequality
esSpanish
Lema de Gronwall
faPersian
نابرابری گرانوال
frFrench
Lemme de Grönwall
heHebrew
הלמה של גרנוול
itItalian
Lemma di Gronwall
jaJapanese
グロンウォールの不等式
plPolish
Nierówność Grönwalla
ptPortuguese
Lema de Grönwall
ruRussian
Лемма Гронуолла — Беллмана
ukUkrainian
Лема Гронуолла — Беллмана
zhChinese
格朗沃尔不等式

Popularity rank trends

Best Rank English:
#191766
04.2025
Global:
#232660
04.2025

AI rank trends

Best Rank English:
#60973
04.2005
Global:
#40112
09.2005

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Gronwall's inequality from Wikipedia articles about Picard–Lindelöf theorem, Comparison theorem, List of inequalities, Ordinary differential equation and Thomas Hakon Grönwall. Whereas reading the article about Gronwall's inequality people most often go to Wikipedia articles on Thomas Hakon Grönwall, Bihari–LaSalle inequality, Stochastic Gronwall inequality, Picard–Lindelöf theorem and Halanay Inequality.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

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About WikiRank

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