Jensen's inequality

Jensen's inequality - theorem of convex functions. Article “Jensen's inequality” in English Wikipedia has 44.4 points for quality (as of July 1, 2025). The article contains 13 references and 24 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 2.34 points.

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

In June 2025 the article “Jensen's inequality” was edited by 1 authors in English Wikipedia and written by 2 authors in all languages.

Since the creation of article “Jensen's inequality”, its content was written by 149 registered users of English Wikipedia and edited by 614 registered Wikipedia users in all languages.

The article is cited 146 times in English Wikipedia and cited 779 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #12751 in August 2004
• Global: #7275 in September 2003

The highest popularity rank from 2008:

• Local (English): #39848 in November 2021
• Global: #52559 in November 2021

There are 31 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) Jensen's inequality		44.4443
2	Persian (fa) نابرابری ینسن		29.6273
3	Ukrainian (uk) Нерівність Єнсена		26.3412
4	Turkish (tr) Jensen eşitsizliği		25.0422
5	German (de) Jensensche Ungleichung		24.8717
6	Hungarian (hu) Jensen-egyenlőtlenség		23.6313
7	Chinese (zh) 簡森不等式		22.4594
8	Greek (el) Ανισότητα Γένσεν		21.8227
9	Korean (ko) 옌센 부등식		20.5704
10	French (fr) Inégalité de Jensen		20.3484

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

The most popular language versions of the article "Jensen's inequality" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Jensen's inequality		3 328 369
2	French (fr) Inégalité de Jensen		312 222
3	German (de) Jensensche Ungleichung		300 017
4	Russian (ru) Неравенство Йенсена		202 353
5	Chinese (zh) 簡森不等式		199 736
6	Japanese (ja) イェンセンの不等式		169 278
7	Italian (it) Disuguaglianza di Jensen		98 489
8	Polish (pl) Nierówność Jensena		90 835
9	Spanish (es) Desigualdad de Jensen		81 613
10	Vietnamese (vi) Bất đẳng thức Jensen		62 686

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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 "Jensen's inequality" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Jensen's inequality		17 984
2	French (fr) Inégalité de Jensen		1 318
3	Chinese (zh) 簡森不等式		1 270
4	Russian (ru) Неравенство Йенсена		1 038
5	Japanese (ja) イェンセンの不等式		1 022
6	German (de) Jensensche Ungleichung		950
7	Italian (it) Disuguaglianza di Jensen		363
8	Spanish (es) Desigualdad de Jensen		357
9	Polish (pl) Nierówność Jensena		342
10	Vietnamese (vi) Bất đẳng thức Jensen		243

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

Language versions of the article "Jensen's inequality" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Jensen's inequality		149
2	German (de) Jensensche Ungleichung		61
3	Italian (it) Disuguaglianza di Jensen		44
4	Russian (ru) Неравенство Йенсена		40
5	French (fr) Inégalité de Jensen		36
6	Hungarian (hu) Jensen-egyenlőtlenség		30
7	Vietnamese (vi) Bất đẳng thức Jensen		28
8	Polish (pl) Nierówność Jensena		27
9	Hebrew (he) אי-שוויון ינסן		24
10	Dutch (nl) Ongelijkheid van Jensen		23

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

Language versions of the article "Jensen's inequality" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Jensen's inequality		1
2	Serbian (sr) Јенсенова неједнакост		1
3	Arabic (ar) متباينة ينسن		0
4	Azerbaijani (az) Censen bərabərsizliyi		0
5	Bulgarian (bg) Неравенство на Йенсен		0
6	Catalan (ca) Desigualtat de Jensen		0
7	Czech (cs) Jensenova nerovnost		0
8	German (de) Jensensche Ungleichung		0
9	Greek (el) Ανισότητα Γένσεν		0
10	Spanish (es) Desigualdad de Jensen		0

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

Language versions of the article "Jensen's inequality" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	Italian (it) Disuguaglianza di Jensen		150
2	English (en) Jensen's inequality		146
3	Chinese (zh) 簡森不等式		121
4	French (fr) Inégalité de Jensen		65
5	Ukrainian (uk) Нерівність Єнсена		48
6	German (de) Jensensche Ungleichung		28
7	Japanese (ja) イェンセンの不等式		23
8	Persian (fa) نابرابری ینسن		18
9	Russian (ru) Неравенство Йенсена		17
10	Spanish (es) Desigualdad de Jensen		16

More...

#	Language	Value
ar	Arabic متباينة ينسن
az	Azerbaijani Censen bərabərsizliyi
bg	Bulgarian Неравенство на Йенсен
ca	Catalan Desigualtat de Jensen
cs	Czech Jensenova nerovnost
de	German Jensensche Ungleichung
el	Greek Ανισότητα Γένσεν
en	English Jensen's inequality
es	Spanish Desigualdad de Jensen
fa	Persian نابرابری ینسن
fi	Finnish Jensenin epäyhtälö
fr	French Inégalité de Jensen
he	Hebrew אי-שוויון ינסן
hu	Hungarian Jensen-egyenlőtlenség
hy	Armenian Ենսենի անհավասարություն
id	Indonesian Pertidaksamaan Jensen
it	Italian Disuguaglianza di Jensen
ja	Japanese イェンセンの不等式
kk	Kazakh Йенсен теңсіздігі
ko	Korean 옌센 부등식
nl	Dutch Ongelijkheid van Jensen
pl	Polish Nierówność Jensena
pt	Portuguese Desigualdade de Jensen
ru	Russian Неравенство Йенсена
sr	Serbian Јенсенова неједнакост
sv	Swedish Jensens olikhet
tr	Turkish Jensen eşitsizliği
uk	Ukrainian Нерівність Єнсена
ur	Urdu جینسن نامساوات
vi	Vietnamese Bất đẳng thức Jensen
zh	Chinese 簡森不等式

Best Rank

English: #39848 11.2021

Global: #52559 11.2021

Best Rank

English: #12751 08.2004

Global: #7275 09.2003

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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