Concave function

en

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Concave function

Quality:

Concave function - negative of a convex function. Article "Concave function" in English Wikipedia has 31.7 points for quality (as of July 1, 2025). The article contains 9 references and 9 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 "Concave function", its content was written by 106 registered users of English Wikipedia and edited by 310 registered Wikipedia users in all languages.

The article is cited 305 times in English Wikipedia and cited 1119 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #12414 in October 2003
  • Global: #15706 in February 2003

The highest popularity rank from 2008:

  • Local (English): #57995 in October 2014
  • Global: #63484 in November 2020

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
1English (en)
Concave function
31.6674
2Turkish (tr)
İçbükey fonksiyon
29.6892
3Tamil (ta)
குழிவுச் சார்பு
28.6475
4Chinese (zh)
凹函数
19.831
5Romanian (ro)
Funcție concavă
19.3665
6Ukrainian (uk)
Угнута функція
19.3526
7Catalan (ca)
Funció còncava
15.4857
8Persian (fa)
تابع مقعر
15.4801
9Japanese (ja)
凹関数
15.1336
10Vietnamese (vi)
Hàm lõm
10.5913
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 "Concave function" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Concave function
2 292 057
2Spanish (es)
Función cóncava
567 618
3French (fr)
Fonction concave
330 387
4Chinese (zh)
凹函数
197 552
5Italian (it)
Funzione concava
176 331
6Hebrew (he)
פונקציה קעורה
89 959
7Danish (da)
Konkav
68 366
8Japanese (ja)
凹関数
62 899
9Czech (cs)
Konkávní funkce
50 623
10Slovak (sk)
Konkávna funkcia
41 402
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 "Concave function" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Concave function
5 088
2Chinese (zh)
凹函数
800
3French (fr)
Fonction concave
708
4Spanish (es)
Función cóncava
596
5Japanese (ja)
凹関数
462
6Hebrew (he)
פונקציה קעורה
259
7Italian (it)
Funzione concava
227
8Czech (cs)
Konkávní funkce
98
9Korean (ko)
오목함수
79
10Slovenian (sl)
Konkavna funkcija
77
More...

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

The highest AI

Language versions of the article "Concave function" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Concave function
106
2Hebrew (he)
פונקציה קעורה
31
3French (fr)
Fonction concave
26
4Chinese (zh)
凹函数
23
5Danish (da)
Konkav
17
6Spanish (es)
Función cóncava
16
7Ukrainian (uk)
Угнута функція
10
8Catalan (ca)
Funció còncava
9
9Italian (it)
Funzione concava
9
10Arabic (ar)
دالة مقعرة
8
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 "Concave function" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Arabic (ar)
دالة مقعرة
0
2Bulgarian (bg)
Вдлъбната функция
0
3Catalan (ca)
Funció còncava
0
4Czech (cs)
Konkávní funkce
0
5Danish (da)
Konkav
0
6English (en)
Concave function
0
7Spanish (es)
Función cóncava
0
8Basque (eu)
Funtzio ahur
0
9Persian (fa)
تابع مقعر
0
10French (fr)
Fonction concave
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 "Concave function" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Concave function
305
2Arabic (ar)
دالة مقعرة
128
3Chinese (zh)
凹函数
120
4Persian (fa)
تابع مقعر
115
5Hebrew (he)
פונקציה קעורה
75
6Catalan (ca)
Funció còncava
66
7French (fr)
Fonction concave
45
8Japanese (ja)
凹関数
43
9Danish (da)
Konkav
36
10Spanish (es)
Función cóncava
30
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
دالة مقعرة
bgBulgarian
Вдлъбната функция
caCatalan
Funció còncava
csCzech
Konkávní funkce
daDanish
Konkav
enEnglish
Concave function
esSpanish
Función cóncava
euBasque
Funtzio ahur
faPersian
تابع مقعر
frFrench
Fonction concave
heHebrew
פונקציה קעורה
itItalian
Funzione concava
jaJapanese
凹関数
koKorean
오목함수
roRomanian
Funcție concavă
skSlovak
Konkávna funkcia
slSlovenian
Konkavna funkcija
svSwedish
Konkav funktion
taTamil
குழிவுச் சார்பு
trTurkish
İçbükey fonksiyon
ukUkrainian
Угнута функція
urUrdu
معقر دالہ
viVietnamese
Hàm lõm
zhChinese
凹函数

Popularity rank trends

Best Rank English:
#57995
10.2014
Global:
#63484
11.2020

AI rank trends

Best Rank English:
#12414
10.2003
Global:
#15706
02.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Concave function from Wikipedia articles about Convex function, Concave, Jensens inequality, Inflection point and Convex optimization. Whereas reading the article about Concave function people most often go to Wikipedia articles on Convex function, Hypograph, Jensens inequality, Quasiconvex function and Convex set.

Cumulative results of quality and popularity of the Wikipedia article

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

da: Konkav

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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