Lipschitz continuity

en

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Lipschitz continuity

Quality:

Lipschitz function - strong form of uniform continuity. Article "Lipschitz continuity" in English Wikipedia has 27.6 points for quality (as of July 1, 2025). The article contains 12 references and 7 sections.

This article has the best quality in Norwegian Wikipedia. However, this article is the most popular in English version.

Since the creation of article "Lipschitz continuity", its content was written by 136 registered users of English Wikipedia and edited by 611 registered Wikipedia users in all languages.

The article is cited 303 times in English Wikipedia and cited 1206 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #1817 in August 2001
  • Global: #1906 in August 2001

The highest popularity rank from 2008:

  • Local (English): #46381 in November 2022
  • Global: #47032 in November 2021

There are 24 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
1Norwegian (no)
Lipschitz-kontinuitet
27.9411
2English (en)
Lipschitz continuity
27.6381
3Bulgarian (bg)
Липшицова функция
22.3636
4Kazakh (kk)
Липщиц шарты
21.3014
5Swedish (sv)
Lipschitzkontinuitet
20.4482
6Chinese (zh)
利普希茨連續
20.1302
7Finnish (fi)
Lipschitz-jatkuvuus
19.897
8French (fr)
Application lipschitzienne
19.8619
9German (de)
Lipschitz-stetige Funktion
17.3322
10Polish (pl)
Warunek Lipschitza
15.2297
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 "Lipschitz continuity" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Lipschitz continuity
2 987 324
2German (de)
Lipschitz-stetige Funktion
832 848
3French (fr)
Application lipschitzienne
496 197
4Italian (it)
Funzione lipschitziana
291 157
5Chinese (zh)
利普希茨連續
213 903
6Spanish (es)
Función lipschitziana
212 425
7Japanese (ja)
リプシッツ連続
202 965
8Russian (ru)
Липшицево отображение
184 327
9Polish (pl)
Warunek Lipschitza
128 111
10Hebrew (he)
תנאי ליפשיץ
97 747
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 "Lipschitz continuity" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Lipschitz continuity
14 665
2German (de)
Lipschitz-stetige Funktion
2 579
3Russian (ru)
Липшицево отображение
1 202
4French (fr)
Application lipschitzienne
1 197
5Japanese (ja)
リプシッツ連続
1 045
6Chinese (zh)
利普希茨連續
903
7Italian (it)
Funzione lipschitziana
872
8Spanish (es)
Función lipschitziana
623
9Polish (pl)
Warunek Lipschitza
536
10Hebrew (he)
תנאי ליפשיץ
379
More...

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

The highest AI

Language versions of the article "Lipschitz continuity" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Lipschitz continuity
136
2German (de)
Lipschitz-stetige Funktion
85
3French (fr)
Application lipschitzienne
66
4Italian (it)
Funzione lipschitziana
45
5Russian (ru)
Липшицево отображение
44
6Hebrew (he)
תנאי ליפשיץ
28
7Hungarian (hu)
Lipschitz-tulajdonság
28
8Chinese (zh)
利普希茨連續
25
9Polish (pl)
Warunek Lipschitza
22
10Spanish (es)
Función lipschitziana
18
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 "Lipschitz continuity" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Portuguese (pt)
Função Lipschitz contínua
1
2Russian (ru)
Липшицево отображение
1
3Swedish (sv)
Lipschitzkontinuitet
1
4Bulgarian (bg)
Липшицова функция
0
5Catalan (ca)
Funció Lipschitz
0
6Czech (cs)
Lipschitzovsky spojité zobrazení
0
7German (de)
Lipschitz-stetige Funktion
0
8English (en)
Lipschitz continuity
0
9Spanish (es)
Función lipschitziana
0
10Persian (fa)
پیوستگی لیپ‌شیتس
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 "Lipschitz continuity" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Lipschitz continuity
303
2Italian (it)
Funzione lipschitziana
164
3French (fr)
Application lipschitzienne
107
4German (de)
Lipschitz-stetige Funktion
101
5Russian (ru)
Липшицево отображение
71
6Spanish (es)
Función lipschitziana
62
7Polish (pl)
Warunek Lipschitza
56
8Chinese (zh)
利普希茨連續
53
9Japanese (ja)
リプシッツ連続
46
10Korean (ko)
립시츠 연속 함수
45
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
bgBulgarian
Липшицова функция
caCatalan
Funció Lipschitz
csCzech
Lipschitzovsky spojité zobrazení
deGerman
Lipschitz-stetige Funktion
enEnglish
Lipschitz continuity
esSpanish
Función lipschitziana
faPersian
پیوستگی لیپ‌شیتس
fiFinnish
Lipschitz-jatkuvuus
frFrench
Application lipschitzienne
heHebrew
תנאי ליפשיץ
huHungarian
Lipschitz-tulajdonság
idIndonesian
Fungsi Lipschitz
itItalian
Funzione lipschitziana
jaJapanese
リプシッツ連続
kkKazakh
Липщиц шарты
koKorean
립시츠 연속 함수
nlDutch
Lipschitz-continuïteit
noNorwegian
Lipschitz-kontinuitet
plPolish
Warunek Lipschitza
ptPortuguese
Função Lipschitz contínua
ruRussian
Липшицево отображение
svSwedish
Lipschitzkontinuitet
ukUkrainian
Ліпшицеве відображення
zhChinese
利普希茨連續

Popularity rank trends

Best Rank English:
#46381
11.2022
Global:
#47032
11.2021

AI rank trends

Best Rank English:
#1817
08.2001
Global:
#1906
08.2001

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Lipschitz function from Wikipedia articles about Picard–Lindelöf theorem, Uniform continuity, Hölder condition, Weierstrass function and Nortons dome. Whereas reading the article about Lipschitz function people most often go to Wikipedia articles on Rudolf Lipschitz, Hölder condition, Uniform continuity, Picard–Lindelöf theorem and Absolute continuity.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

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