கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி

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கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி

Quality:

AM–GM inequality - states that the arithmetic mean of a list of non-negative real numbers is greater than or equal to the geometric mean of the same list. Article "கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி" in Tamil Wikipedia has 31.9 points for quality (as of July 1, 2025). The article contains 2 references and 5 sections.

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

Since the creation of article "கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி", its content was written by 1 registered users of Tamil Wikipedia and edited by 588 registered Wikipedia users in all languages.

The article is cited 1 times in Tamil Wikipedia and cited 520 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Tamil): #5305 in June 2021
  • Global: #15900 in May 2004

The highest popularity rank from 2008:

  • Local (Tamil): #18270 in June 2021
  • Global: #42325 in October 2021

There are 26 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)
AM–GM inequality
49.8582
2German (de)
Ungleichung vom arithmetischen und geometrischen Mittel
37.6311
3Tamil (ta)
கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி
31.863
4Chinese (zh)
算术-几何平均值不等式
28.213
5Vietnamese (vi)
Bất đẳng thức trung bình cộng và trung bình nhân
27.064
6Greek (el)
Ανισότητα αριθμητικού-γεωμετρικού μέσου
23.5531
7Turkish (tr)
AO-GO eşitsizliği
22.8319
8Italian (it)
Disuguaglianza tra media aritmetica e media geometrica
22.5443
9Hungarian (hu)
Számtani és mértani közép közötti egyenlőtlenség
21.9369
10Ukrainian (uk)
Нерівність середнього арифметичного та геометричного
21.7666
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 "கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
AM–GM inequality
1 741 134
2Vietnamese (vi)
Bất đẳng thức trung bình cộng và trung bình nhân
1 207 171
3Chinese (zh)
算术-几何平均值不等式
324 818
4Polish (pl)
Nierówności między średnimi
300 217
5German (de)
Ungleichung vom arithmetischen und geometrischen Mittel
299 414
6Russian (ru)
Неравенство о среднем арифметическом, геометрическом и гармоническом
268 205
7Romanian (ro)
Inegalitatea mediilor
185 440
8Spanish (es)
Desigualdad de las medias aritmética y geométrica
166 877
9Korean (ko)
산술-기하 평균 부등식
146 699
10Hebrew (he)
אי-שוויון הממוצעים
145 245
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 "கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
AM–GM inequality
7 644
2Vietnamese (vi)
Bất đẳng thức trung bình cộng và trung bình nhân
3 511
3Chinese (zh)
算术-几何平均值不等式
1 309
4Russian (ru)
Неравенство о среднем арифметическом, геометрическом и гармоническом
1 261
5French (fr)
Inégalité arithmético-géométrique
612
6Polish (pl)
Nierówności między średnimi
491
7Korean (ko)
산술-기하 평균 부등식
462
8Hebrew (he)
אי-שוויון הממוצעים
404
9German (de)
Ungleichung vom arithmetischen und geometrischen Mittel
359
10Portuguese (pt)
Desigualdade das médias
235
More...

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

The highest AI

Language versions of the article "கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
AM–GM inequality
127
2Vietnamese (vi)
Bất đẳng thức trung bình cộng và trung bình nhân
75
3German (de)
Ungleichung vom arithmetischen und geometrischen Mittel
68
4Russian (ru)
Неравенство о среднем арифметическом, геометрическом и гармоническом
44
5Hungarian (hu)
Számtani és mértani közép közötti egyenlőtlenség
40
6French (fr)
Inégalité arithmético-géométrique
31
7Hebrew (he)
אי-שוויון הממוצעים
31
8Polish (pl)
Nierówności między średnimi
31
9Chinese (zh)
算术-几何平均值不等式
23
10Spanish (es)
Desigualdad de las medias aritmética y geométrica
15
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 "கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
AM–GM inequality
4
2Vietnamese (vi)
Bất đẳng thức trung bình cộng và trung bình nhân
2
3Catalan (ca)
Desigualtat entre les mitjanes aritmètica i geomètrica
1
4Greek (el)
Ανισότητα αριθμητικού-γεωμετρικού μέσου
1
5French (fr)
Inégalité arithmético-géométrique
1
6Galician (gl)
Desigualdade AM-GM
1
7Polish (pl)
Nierówności między średnimi
1
8Ukrainian (uk)
Нерівність середнього арифметичного та геометричного
1
9Czech (cs)
Nerovnost aritmetického a geometrického průměru
0
10German (de)
Ungleichung vom arithmetischen und geometrischen Mittel
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 "கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
AM–GM inequality
78
2French (fr)
Inégalité arithmético-géométrique
77
3Russian (ru)
Неравенство о среднем арифметическом, геометрическом и гармоническом
51
4German (de)
Ungleichung vom arithmetischen und geometrischen Mittel
41
5Polish (pl)
Nierówności między średnimi
39
6Ukrainian (uk)
Нерівність середнього арифметичного та геометричного
37
7Hungarian (hu)
Számtani és mértani közép közötti egyenlőtlenség
26
8Chinese (zh)
算术-几何平均值不等式
20
9Spanish (es)
Desigualdad de las medias aritmética y geométrica
18
10Hebrew (he)
אי-שוויון הממוצעים
18
More...

Scores

Estimated value for Wikipedia:
Tamil:
Global:
Popularity in June 2025:
Tamil:
Global:
Popularity in all years:
Tamil:
Global:
Authors in June 2025:
Tamil:
Global:
Registered authors in all years:
Tamil:
Global:
Citations:
Tamil:
Global:

Quality measures

Interwikis

#LanguageValue
caCatalan
Desigualtat entre les mitjanes aritmètica i geomètrica
csCzech
Nerovnost aritmetického a geometrického průměru
deGerman
Ungleichung vom arithmetischen und geometrischen Mittel
elGreek
Ανισότητα αριθμητικού-γεωμετρικού μέσου
enEnglish
AM–GM inequality
esSpanish
Desigualdad de las medias aritmética y geométrica
euBasque
Batezbestekoen arteko erlazio
faPersian
نابرابری میانگین حسابی-هندسی
fiFinnish
Aritmeettis-geometrinen epäyhtälö
frFrench
Inégalité arithmético-géométrique
glGalician
Desigualdade AM-GM
heHebrew
אי-שוויון הממוצעים
hiHindi
समान्तर माध्य और गुणोत्तर माध्य सम्बन्धी असमिका
huHungarian
Számtani és mértani közép közötti egyenlőtlenség
itItalian
Disuguaglianza tra media aritmetica e media geometrica
koKorean
산술-기하 평균 부등식
plPolish
Nierówności między średnimi
ptPortuguese
Desigualdade das médias
roRomanian
Inegalitatea mediilor
ruRussian
Неравенство о среднем арифметическом, геометрическом и гармоническом
taTamil
கூட்டு, பெருக்கல் சராசரிகளின் சமனிலி
trTurkish
AO-GO eşitsizliği
ukUkrainian
Нерівність середнього арифметичного та геометричного
uzUzbek
Oʻrta arifmetik va oʻrta geometrik orasidagi tengsizlik
viVietnamese
Bất đẳng thức trung bình cộng và trung bình nhân
zhChinese
算术-几何平均值不等式

Popularity rank trends

Best Rank Tamil:
#18270
06.2021
Global:
#42325
10.2021

AI rank trends

Best Rank Tamil:
#5305
06.2021
Global:
#15900
05.2004

Local AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on AM–GM inequality from Wikipedia articles about Geometric mean, Cauchys inequality, Harmonic mean, Inequality and Arithmetic–geometric mean. Whereas reading the article about AM–GM inequality people most often go to Wikipedia articles on Generalized mean, HM-GM-AM-QM inequalities, Geometric mean, Cauchy–Schwarz inequality and Jensens inequality.

Cumulative results of quality and popularity of the Wikipedia article

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

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