Cesàro summation

en

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Cesàro summation

Quality:

Cesaro summation - modified summation method applicable to some divergent series. Article “Cesàro summation” in English Wikipedia has 19.8 points for quality (as of July 1, 2025). The article contains 3 references and 9 sections.

This article has the best quality in French Wikipedia. However, this article is the most popular in English version.

Since the creation of article “Cesàro summation”, its content was written by 109 registered users of English Wikipedia and edited by 275 registered Wikipedia users in all languages.

The article is cited 72 times in English Wikipedia and cited 336 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #23364 in January 2014
  • Global: #42977 in January 2014

The highest popularity rank from 2008:

  • Local (English): #24346 in January 2014
  • Global: #40367 in January 2014

There are 19 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
1French (fr)
Sommation de Cesàro
33.4602
2Chinese (zh)
切萨罗求和
20.6818
3English (en)
Cesàro summation
19.7787
4Turkish (tr)
Cesàro toplaması
17.0032
5Ukrainian (uk)
Збіжність за Чезаро
11.9399
6Spanish (es)
Sumación de Cesàro
11.2572
7Russian (ru)
Сходимость по Чезаро
10.6363
8Polish (pl)
Sumowalność metodą Cesàro
10.3851
9Hebrew (he)
סיכום צ'זארו
10.1252
10Portuguese (pt)
Soma de Cesàro
9.1296
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 "Cesàro summation" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Cesàro summation
786 051
2Spanish (es)
Sumación de Cesàro
48 670
3Chinese (zh)
切萨罗求和
44 278
4Japanese (ja)
チェザロ和
42 540
5Italian (it)
Somma di Cesaro
41 681
6French (fr)
Sommation de Cesàro
37 891
7Russian (ru)
Сходимость по Чезаро
35 904
8Polish (pl)
Sumowalność metodą Cesàro
22 127
9Portuguese (pt)
Soma de Cesàro
17 709
10Hindi (hi)
सिसैरा-संकलन
13 785
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 "Cesàro summation" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Cesàro summation
2 865
2Japanese (ja)
チェザロ和
221
3Russian (ru)
Сходимость по Чезаро
188
4French (fr)
Sommation de Cesàro
181
5Chinese (zh)
切萨罗求和
180
6Hebrew (he)
סיכום צ'זארו
160
7Italian (it)
Somma di Cesaro
159
8Spanish (es)
Sumación de Cesàro
121
9Portuguese (pt)
Soma de Cesàro
49
10Polish (pl)
Sumowalność metodą Cesàro
34
More...

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

The highest AI

Language versions of the article "Cesàro summation" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Cesàro summation
109
2Italian (it)
Somma di Cesaro
33
3French (fr)
Sommation de Cesàro
19
4Norwegian (no)
Cesàro-summering
16
5Russian (ru)
Сходимость по Чезаро
12
6Japanese (ja)
チェザロ和
11
7Spanish (es)
Sumación de Cesàro
9
8Turkish (tr)
Cesàro toplaması
9
9Hebrew (he)
סיכום צ'זארו
8
10Chinese (zh)
切萨罗求和
7
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 "Cesàro summation" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Spanish (es)
Sumación de Cesàro
1
2Hebrew (he)
סיכום צ'זארו
1
3Russian (ru)
Сходимость по Чезаро
1
4Turkish (tr)
Cesàro toplaması
1
5Azerbaijani (az)
Sezaro cəmi
0
6English (en)
Cesàro summation
0
7Finnish (fi)
Cesàron yhteenlasku
0
8French (fr)
Sommation de Cesàro
0
9Hindi (hi)
सिसैरा-संकलन
0
10Italian (it)
Somma di Cesaro
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 "Cesàro summation" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Polish (pl)
Sumowalność metodą Cesàro
92
2English (en)
Cesàro summation
72
3Japanese (ja)
チェザロ和
19
4Italian (it)
Somma di Cesaro
18
5Spanish (es)
Sumación de Cesàro
16
6Chinese (zh)
切萨罗求和
16
7French (fr)
Sommation de Cesàro
15
8Russian (ru)
Сходимость по Чезаро
11
9Ukrainian (uk)
Збіжність за Чезаро
11
10Swedish (sv)
Cesàrosummering
10
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
azAzerbaijani
Sezaro cəmi
enEnglish
Cesàro summation
esSpanish
Sumación de Cesàro
fiFinnish
Cesàron yhteenlasku
frFrench
Sommation de Cesàro
heHebrew
סיכום צ'זארו
hiHindi
सिसैरा-संकलन
itItalian
Somma di Cesaro
jaJapanese
チェザロ和
nlDutch
Cesàro-sommatie
noNorwegian
Cesàro-summering
plPolish
Sumowalność metodą Cesàro
ptPortuguese
Soma de Cesàro
ruRussian
Сходимость по Чезаро
svSwedish
Cesàrosummering
thThai
ผลรวมเชซาโร
trTurkish
Cesàro toplaması
ukUkrainian
Збіжність за Чезаро
zhChinese
切萨罗求和

Popularity rank trends

Best Rank English:
#24346
01.2014
Global:
#40367
01.2014

AI rank trends

Best Rank English:
#23364
01.2014
Global:
#42977
01.2014

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Cesaro summation from Wikipedia articles about Grandis series, Divergent series, Stolz–Cesàro theorem, 1 + 2 + 3 + 4 + · · · and Fejér kernel. Whereas reading the article about Cesaro summation people most often go to Wikipedia articles on Divergent series, Eilenberg–Mazur swindle, Grandis series, Ernesto Cesaro and Ramanujan summation.

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