Convex conjugate

Convex conjugate - the ("dual") lower-semicontinuous convex function resulting from the Legendre–Fenchel transformation of a "primal" function. Article "Convex conjugate" in English Wikipedia has 29.9 points for quality (as of July 1, 2025). The article contains 5 references and 17 sections.

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

Since the creation of article "Convex conjugate", its content was written by 61 registered users of English Wikipedia and edited by 103 registered Wikipedia users in all languages.

The article is cited 197 times in English Wikipedia and cited 288 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #69357 in January 2020
• Global: #134728 in April 2019

The highest popularity rank from 2008:

• Local (English): #187587 in July 2014
• Global: #319993 in July 2014

There are 9 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) Convex conjugate		29.905
2	Japanese (ja) 凸共役性		29.7276
3	Ukrainian (uk) Опукле спряження		27.5908
4	Russian (ru) Выпуклое сопряжение		22.2468
5	Chinese (zh) 凸共轭		14.4017
6	French (fr) Fonction conjuguée		13.1925
7	Turkish (tr) Dışbükey eşlenik		9.3646
8	Spanish (es) Conjugada convexa		8.3982
9	Persian (fa) تابع مزدوج محدب		2.9309

More...

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

The most popular language versions of the article "Convex conjugate" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Convex conjugate		605 263
2	French (fr) Fonction conjuguée		59 973
3	Spanish (es) Conjugada convexa		32 020
4	Japanese (ja) 凸共役性		18 977
5	Chinese (zh) 凸共轭		15 727
6	Russian (ru) Выпуклое сопряжение		4 438
7	Persian (fa) تابع مزدوج محدب		3 195
8	Ukrainian (uk) Опукле спряження		206
9	Turkish (tr) Dışbükey eşlenik		36

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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 "Convex conjugate" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Convex conjugate		3 073
2	French (fr) Fonction conjuguée		250
3	Japanese (ja) 凸共役性		220
4	Chinese (zh) 凸共轭		61
5	Russian (ru) Выпуклое сопряжение		59
6	Spanish (es) Conjugada convexa		47
7	Turkish (tr) Dışbükey eşlenik		10
8	Ukrainian (uk) Опукле спряження		8
9	Persian (fa) تابع مزدوج محدب		7

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

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

#	Language	AI award	Relative AI
1	English (en) Convex conjugate		61
2	French (fr) Fonction conjuguée		14
3	Japanese (ja) 凸共役性		8
4	Russian (ru) Выпуклое сопряжение		6
5	Chinese (zh) 凸共轭		6
6	Spanish (es) Conjugada convexa		3
7	Persian (fa) تابع مزدوج محدب		3
8	Turkish (tr) Dışbükey eşlenik		1
9	Ukrainian (uk) Опукле спряження		1

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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 "Convex conjugate" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Convex conjugate		0
2	Spanish (es) Conjugada convexa		0
3	Persian (fa) تابع مزدوج محدب		0
4	French (fr) Fonction conjuguée		0
5	Japanese (ja) 凸共役性		0
6	Russian (ru) Выпуклое сопряжение		0
7	Turkish (tr) Dışbükey eşlenik		0
8	Ukrainian (uk) Опукле спряження		0
9	Chinese (zh) 凸共轭		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 "Convex conjugate" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Convex conjugate		197
2	French (fr) Fonction conjuguée		33
3	Japanese (ja) 凸共役性		15
4	Persian (fa) تابع مزدوج محدب		14
5	Chinese (zh) 凸共轭		10
6	Russian (ru) Выпуклое сопряжение		7
7	Ukrainian (uk) Опукле спряження		7
8	Spanish (es) Conjugada convexa		3
9	Turkish (tr) Dışbükey eşlenik		2

More...

#	Language	Value
en	English Convex conjugate
es	Spanish Conjugada convexa
fa	Persian تابع مزدوج محدب
fr	French Fonction conjuguée
ja	Japanese 凸共役性
ru	Russian Выпуклое сопряжение
tr	Turkish Dışbükey eşlenik
uk	Ukrainian Опукле спряження
zh	Chinese 凸共轭

Best Rank

English: #187587 07.2014

Global: #319993 07.2014

Best Rank

English: #69357 01.2020

Global: #134728 04.2019

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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