Bounded variation

en

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Bounded variation

Quality:

Function of bounded variation - real function with finite total variation. Article “Bounded variation” in English Wikipedia has 51 points for quality (as of July 1, 2025). The article contains 8 references and 29 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 “Bounded variation”, its content was written by 134 registered users of English Wikipedia and edited by 259 registered Wikipedia users in all languages.

The article is cited 154 times in English Wikipedia and cited 299 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #14351 in September 2003
  • Global: #25393 in September 2003

The highest popularity rank from 2008:

  • Local (English): #102276 in June 2015
  • Global: #165495 in June 2015

There are 11 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)
Bounded variation
50.9585
2Polish (pl)
Funkcja o wahaniu ograniczonym
27.2704
3German (de)
Beschränkte Variation
26.1986
4French (fr)
Fonction à variation bornée
23.8894
5Japanese (ja)
有界変動函数
21.3006
6Korean (ko)
유계 변동 함수
21.2888
7Spanish (es)
Variación acotada
19.5843
8Italian (it)
Funzione a variazione limitata
10.4821
9Chinese (zh)
有界变差
7.7061
10Hebrew (he)
השתנות חסומה
5.2059
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 "Bounded variation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Bounded variation
781 704
2German (de)
Beschränkte Variation
65 634
3French (fr)
Fonction à variation bornée
60 088
4Italian (it)
Funzione a variazione limitata
42 471
5Chinese (zh)
有界变差
30 334
6Japanese (ja)
有界変動函数
27 061
7Korean (ko)
유계 변동 함수
11 823
8Hebrew (he)
השתנות חסומה
9 496
9Finnish (fi)
Rajoitetusti heilahteleva kuvaus
3 967
10Polish (pl)
Funkcja o wahaniu ograniczonym
1 803
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 "Bounded variation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Bounded variation
2 847
2French (fr)
Fonction à variation bornée
240
3German (de)
Beschränkte Variation
174
4Japanese (ja)
有界変動函数
165
5Chinese (zh)
有界变差
123
6Italian (it)
Funzione a variazione limitata
100
7Spanish (es)
Variación acotada
85
8Korean (ko)
유계 변동 함수
51
9Hebrew (he)
השתנות חסומה
44
10Polish (pl)
Funkcja o wahaniu ograniczonym
25
More...

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

The highest AI

Language versions of the article "Bounded variation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Bounded variation
134
2German (de)
Beschränkte Variation
38
3French (fr)
Fonction à variation bornée
26
4Italian (it)
Funzione a variazione limitata
16
5Hebrew (he)
השתנות חסומה
10
6Chinese (zh)
有界变差
10
7Finnish (fi)
Rajoitetusti heilahteleva kuvaus
8
8Korean (ko)
유계 변동 함수
6
9Polish (pl)
Funkcja o wahaniu ograniczonym
6
10Japanese (ja)
有界変動函数
4
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 "Bounded variation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1German (de)
Beschränkte Variation
1
2English (en)
Bounded variation
0
3Spanish (es)
Variación acotada
0
4Finnish (fi)
Rajoitetusti heilahteleva kuvaus
0
5French (fr)
Fonction à variation bornée
0
6Hebrew (he)
השתנות חסומה
0
7Italian (it)
Funzione a variazione limitata
0
8Japanese (ja)
有界変動函数
0
9Korean (ko)
유계 변동 함수
0
10Polish (pl)
Funkcja o wahaniu ograniczonym
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 "Bounded variation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Bounded variation
154
2French (fr)
Fonction à variation bornée
40
3German (de)
Beschränkte Variation
24
4Chinese (zh)
有界变差
19
5Italian (it)
Funzione a variazione limitata
18
6Japanese (ja)
有界変動函数
16
7Korean (ko)
유계 변동 함수
11
8Spanish (es)
Variación acotada
8
9Hebrew (he)
השתנות חסומה
5
10Finnish (fi)
Rajoitetusti heilahteleva kuvaus
3
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
deGerman
Beschränkte Variation
enEnglish
Bounded variation
esSpanish
Variación acotada
fiFinnish
Rajoitetusti heilahteleva kuvaus
frFrench
Fonction à variation bornée
heHebrew
השתנות חסומה
itItalian
Funzione a variazione limitata
jaJapanese
有界変動函数
koKorean
유계 변동 함수
plPolish
Funkcja o wahaniu ograniczonym
zhChinese
有界变差

Popularity rank trends

Best Rank English:
#102276
06.2015
Global:
#165495
06.2015

AI rank trends

Best Rank English:
#14351
09.2003
Global:
#25393
09.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Function of bounded variation from Wikipedia articles about Absolute continuity, Riemann–Stieltjes integral, Total variation, Dirichlet conditions and Lebesgue–Stieltjes integration. Whereas reading the article about Function of bounded variation people most often go to Wikipedia articles on Total variation, Riemann–Stieltjes integral, Absolute continuity, Radon measure and Riesz–Markov–Kakutani representation theorem.

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