黎曼-斯蒂尔杰斯积分

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黎曼-斯蒂尔杰斯积分

Quality:

Riemann–Stieltjes integral - generalization of the Riemann integral. Article "黎曼-斯蒂尔杰斯积分" in Chinese Wikipedia has 14.2 points for quality (as of July 1, 2025). The article contains 0 references and 7 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 "黎曼-斯蒂尔杰斯积分", its content was written by 11 registered users of Chinese Wikipedia and edited by 375 registered Wikipedia users in all languages.

The article is cited 24 times in Chinese Wikipedia and cited 660 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (Chinese): #17019 in January 2015
  • Global: #3146 in September 2003

The highest popularity rank from 2008:

  • Local (Chinese): #90997 in December 2019
  • Global: #168404 in November 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
1English (en)
Riemann–Stieltjes integral
46.8567
2Hebrew (he)
אינטגרל רימן-סטילטיס
24.0296
3Russian (ru)
Интеграл Римана — Стилтьеса
22.0801
4French (fr)
Intégrale de Stieltjes
16.5044
5Chinese (zh)
黎曼-斯蒂尔杰斯积分
14.2423
6German (de)
Stieltjesintegral
13.6108
7Spanish (es)
Integral de Riemann-Stieltjes
13.0887
8Ukrainian (uk)
Інтеграл Стілтьєса
12.9499
9Indonesian (id)
Integral Riemann–Stieltjes
12.5013
10Polish (pl)
Całka Riemanna-Stieltjesa
11.772
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 "黎曼-斯蒂尔杰斯积分" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Riemann–Stieltjes integral
965 626
2German (de)
Stieltjesintegral
139 122
3Russian (ru)
Интеграл Римана — Стилтьеса
111 025
4Spanish (es)
Integral de Riemann-Stieltjes
106 172
5French (fr)
Intégrale de Stieltjes
78 639
6Japanese (ja)
リーマン=スティルチェス積分
62 629
7Chinese (zh)
黎曼-斯蒂尔杰斯积分
59 230
8Polish (pl)
Całka Riemanna-Stieltjesa
44 745
9Italian (it)
Integrale di Riemann-Stieltjes
44 168
10Portuguese (pt)
Integral de Riemann-Stieltjes
23 921
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 "黎曼-斯蒂尔杰斯积分" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Riemann–Stieltjes integral
3 808
2Russian (ru)
Интеграл Римана — Стилтьеса
447
3Japanese (ja)
リーマン=スティルチェス積分
425
4German (de)
Stieltjesintegral
376
5French (fr)
Intégrale de Stieltjes
339
6Spanish (es)
Integral de Riemann-Stieltjes
329
7Chinese (zh)
黎曼-斯蒂尔杰斯积分
258
8Italian (it)
Integrale di Riemann-Stieltjes
143
9Polish (pl)
Całka Riemanna-Stieltjesa
127
10Portuguese (pt)
Integral de Riemann-Stieltjes
83
More...

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

The highest AI

Language versions of the article "黎曼-斯蒂尔杰斯积分" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Riemann–Stieltjes integral
103
2German (de)
Stieltjesintegral
47
3French (fr)
Intégrale de Stieltjes
37
4Russian (ru)
Интеграл Римана — Стилтьеса
32
5Italian (it)
Integrale di Riemann-Stieltjes
25
6Polish (pl)
Całka Riemanna-Stieltjesa
17
7Spanish (es)
Integral de Riemann-Stieltjes
16
8Japanese (ja)
リーマン=スティルチェス積分
14
9Ukrainian (uk)
Інтеграл Стілтьєса
13
10Dutch (nl)
Riemann-Stieltjes-integraal
12
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 "黎曼-斯蒂尔杰斯积分" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Hebrew (he)
אינטגרל רימן-סטילטיס
4
2Swedish (sv)
Riemann-Stieltjes integral
1
3Catalan (ca)
Integral de Riemann-Stieltjes
0
4German (de)
Stieltjesintegral
0
5English (en)
Riemann–Stieltjes integral
0
6Spanish (es)
Integral de Riemann-Stieltjes
0
7Persian (fa)
انتگرال ریمان–استیلتیس
0
8Finnish (fi)
Riemannin–Stieltjesin integraali
0
9French (fr)
Intégrale de Stieltjes
0
10Armenian (hy)
Ռիման-Ստիլտյեսի ինտեգրալ
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 "黎曼-斯蒂尔杰斯积分" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Riemann–Stieltjes integral
154
2Ukrainian (uk)
Інтеграл Стілтьєса
94
3Russian (ru)
Интеграл Римана — Стилтьеса
62
4Japanese (ja)
リーマン=スティルチェス積分
55
5Catalan (ca)
Integral de Riemann-Stieltjes
54
6French (fr)
Intégrale de Stieltjes
35
7German (de)
Stieltjesintegral
33
8Persian (fa)
انتگرال ریمان–استیلتیس
30
9Polish (pl)
Całka Riemanna-Stieltjesa
27
10Chinese (zh)
黎曼-斯蒂尔杰斯积分
24
More...

Scores

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

Quality measures

Interwikis

#LanguageValue
caCatalan
Integral de Riemann-Stieltjes
deGerman
Stieltjesintegral
enEnglish
Riemann–Stieltjes integral
esSpanish
Integral de Riemann-Stieltjes
faPersian
انتگرال ریمان–استیلتیس
fiFinnish
Riemannin–Stieltjesin integraali
frFrench
Intégrale de Stieltjes
heHebrew
אינטגרל רימן-סטילטיס
hyArmenian
Ռիման-Ստիլտյեսի ինտեգրալ
idIndonesian
Integral Riemann–Stieltjes
itItalian
Integrale di Riemann-Stieltjes
jaJapanese
リーマン=スティルチェス積分
nlDutch
Riemann-Stieltjes-integraal
plPolish
Całka Riemanna-Stieltjesa
ptPortuguese
Integral de Riemann-Stieltjes
ruRussian
Интеграл Римана — Стилтьеса
svSwedish
Riemann-Stieltjes integral
ukUkrainian
Інтеграл Стілтьєса
zhChinese
黎曼-斯蒂尔杰斯积分

Popularity rank trends

Best Rank Chinese:
#90997
12.2019
Global:
#168404
11.2014

AI rank trends

Best Rank Chinese:
#17019
01.2015
Global:
#3146
09.2003

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Riemann–Stieltjes integral from Wikipedia articles about Itō calculus, Integral, Riemann integral, Lebesgue–Stieltjes integration and Darboux integral. Whereas reading the article about Riemann–Stieltjes integral people most often go to Wikipedia articles on Lebesgue integration, Thomas Joannes Stieltjes, Riemann integral, Lebesgue–Stieltjes integration and Function of bounded variation.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 12 August 2025

On 12 August 2025 in multilingual Wikipedia, Internet users most often read articles on the following topics: Cristiano Ronaldo, Wednesday, Georgina Rodríguez, ChatGPT, Weapons, Jenna Ortega, deaths in 2025, Taylor Swift, Miguel Uribe Turbay, 2025–26 UEFA Champions League.

In Chinese Wikipedia the most popular articles on that day were: 朱由𣜬, 林岱樺, 林逸欣, 江油未成年人欺凌事件, 鬼滅之刃, 黃士修, 鬼滅之刃角色列表, 锦月如歌, 2025年亞洲盃籃球賽, 鬼滅之刃劇場版 無限城篇.

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