チェビシェフの和の不等式

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チェビシェフの和の不等式

Quality:

Chebyshev's sum inequality - inequality relating two increasing sequences of numbers, or one decreasing and another increasing sequence. Article “チェビシェフの和の不等式” in Japanese Wikipedia has 1.8 points for quality (as of July 1, 2025). The article contains 0 references and 2 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 0.09 points.

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

Since the creation of article “チェビシェフの和の不等式”, its content was written by 8 registered users of Japanese Wikipedia and edited by 204 registered Wikipedia users in all languages.

The article is cited 4 times in Japanese Wikipedia and cited 171 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Japanese): #54677 in April 2008
  • Global: #44887 in February 2006

The highest popularity rank from 2008:

  • Local (Japanese): #320747 in June 2008
  • Global: #388502 in December 2008

There are 17 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
1German (de)
Tschebyscheff-Ungleichung (Arithmetik)
16.2946
2Turkish (tr)
Çebışov toplam eşitsizliği
12.5585
3Spanish (es)
Desigualdad de la suma de Chebyshov
10.1117
4English (en)
Chebyshev's sum inequality
10.0104
5Arabic (ar)
متباينة المجموع لتشيبيشيف
8.9351
6Chinese (zh)
切比雪夫總和不等式
7.7622
7French (fr)
Inégalité de Tchebychev pour les sommes
6.6041
8Hebrew (he)
אי-שוויון הסכומים של צ'בישב
5.6267
9Italian (it)
Disuguaglianza di Čebyšëv sulla somma
5.074
10Polish (pl)
Tożsamość Czebyszewa
4.6191
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 "チェビシェフの和の不等式" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Chebyshev's sum inequality
194 752
2Vietnamese (vi)
Bất đẳng thức cộng Chebyshev
75 153
3French (fr)
Inégalité de Tchebychev pour les sommes
33 871
4Russian (ru)
Неравенство Чебышёва для сумм
27 843
5Chinese (zh)
切比雪夫總和不等式
25 417
6Japanese (ja)
チェビシェフの和の不等式
23 593
7German (de)
Tschebyscheff-Ungleichung (Arithmetik)
21 106
8Polish (pl)
Tożsamość Czebyszewa
17 845
9Italian (it)
Disuguaglianza di Čebyšëv sulla somma
10 192
10Czech (cs)
Čebyševova nerovnost pro konečné součty
5 768
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 "チェビシェフの和の不等式" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Chebyshev's sum inequality
876
2French (fr)
Inégalité de Tchebychev pour les sommes
174
3Vietnamese (vi)
Bất đẳng thức cộng Chebyshev
137
4Chinese (zh)
切比雪夫總和不等式
85
5Russian (ru)
Неравенство Чебышёва для сумм
75
6Japanese (ja)
チェビシェフの和の不等式
56
7German (de)
Tschebyscheff-Ungleichung (Arithmetik)
35
8Polish (pl)
Tożsamość Czebyszewa
29
9Italian (it)
Disuguaglianza di Čebyšëv sulla somma
21
10Spanish (es)
Desigualdad de la suma de Chebyshov
15
More...

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

The highest AI

Language versions of the article "チェビシェフの和の不等式" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Chebyshev's sum inequality
31
2German (de)
Tschebyscheff-Ungleichung (Arithmetik)
29
3Italian (it)
Disuguaglianza di Čebyšëv sulla somma
26
4Vietnamese (vi)
Bất đẳng thức cộng Chebyshev
19
5Russian (ru)
Неравенство Чебышёва для сумм
16
6French (fr)
Inégalité de Tchebychev pour les sommes
14
7Finnish (fi)
Tšebyšovin summaepäyhtälö
12
8Polish (pl)
Tożsamość Czebyszewa
11
9Czech (cs)
Čebyševova nerovnost pro konečné součty
8
10Japanese (ja)
チェビシェフの和の不等式
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 "チェビシェフの和の不等式" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Polish (pl)
Tożsamość Czebyszewa
1
2Arabic (ar)
متباينة المجموع لتشيبيشيف
0
3Czech (cs)
Čebyševova nerovnost pro konečné součty
0
4German (de)
Tschebyscheff-Ungleichung (Arithmetik)
0
5English (en)
Chebyshev's sum inequality
0
6Spanish (es)
Desigualdad de la suma de Chebyshov
0
7Finnish (fi)
Tšebyšovin summaepäyhtälö
0
8French (fr)
Inégalité de Tchebychev pour les sommes
0
9Hebrew (he)
אי-שוויון הסכומים של צ'בישב
0
10Italian (it)
Disuguaglianza di Čebyšëv sulla somma
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 "チェビシェフの和の不等式" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1Polish (pl)
Tożsamość Czebyszewa
99
2English (en)
Chebyshev's sum inequality
11
3French (fr)
Inégalité de Tchebychev pour les sommes
9
4Italian (it)
Disuguaglianza di Čebyšëv sulla somma
7
5German (de)
Tschebyscheff-Ungleichung (Arithmetik)
6
6Chinese (zh)
切比雪夫總和不等式
6
7Arabic (ar)
متباينة المجموع لتشيبيشيف
5
8Ukrainian (uk)
Нерівність Чебишова для сум чисел
5
9Finnish (fi)
Tšebyšovin summaepäyhtälö
4
10Japanese (ja)
チェビシェフの和の不等式
4
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
arArabic
متباينة المجموع لتشيبيشيف
csCzech
Čebyševova nerovnost pro konečné součty
deGerman
Tschebyscheff-Ungleichung (Arithmetik)
enEnglish
Chebyshev's sum inequality
esSpanish
Desigualdad de la suma de Chebyshov
fiFinnish
Tšebyšovin summaepäyhtälö
frFrench
Inégalité de Tchebychev pour les sommes
heHebrew
אי-שוויון הסכומים של צ'בישב
itItalian
Disuguaglianza di Čebyšëv sulla somma
jaJapanese
チェビシェフの和の不等式
plPolish
Tożsamość Czebyszewa
ruRussian
Неравенство Чебышёва для сумм
srSerbian
Чебишевљева неједнакост сума
trTurkish
Çebışov toplam eşitsizliği
ukUkrainian
Нерівність Чебишова для сум чисел
viVietnamese
Bất đẳng thức cộng Chebyshev
zhChinese
切比雪夫總和不等式

Popularity rank trends

Best Rank Japanese:
#320747
06.2008
Global:
#388502
12.2008

AI rank trends

Best Rank Japanese:
#54677
04.2008
Global:
#44887
02.2006

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Chebyshev's sum inequality from Wikipedia articles about Chebyshevs inequality, Rearrangement inequality, List of inequalities, Chebyshevs theorem and Inequality. Whereas reading the article about Chebyshev's sum inequality people most often go to Wikipedia articles on Rearrangement inequality, Hardy–Littlewood inequality, Pafnuty Chebyshev, Chebyshevs inequality and FKG inequality.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 9 December 2025

On 9 December 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Stranger Things, 2026 FIFA World Cup, Lando Norris, Millie Bobby Brown, Sean Combs, It: Welcome to Derry, ChatGPT, Zootopia 2, deaths in 2025, Cassie Ventura.

In Japanese Wikipedia the most popular articles on that day were: 堂上隼人, 濱田太貴, 辰見鴻之介, 中村獅童 (2代目), 松浦慶斗, 井上広大, 知野直人, 平沼翔太, 佐藤直樹 (野球), 濱将乃介.

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