Hölder's inequality

Hölder's inequality - inequality between integrals in Lp spaces. Article “Hölder's inequality” in English Wikipedia has 40.3 points for quality (as of July 1, 2025). The article contains 7 references and 29 sections.

In this language version of Wikipedia the article has the best quality. Also, this article is the most popular in that (English) language version.

In June 2025 the article “Hölder's inequality” was edited by 1 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Hölder's inequality”, its content was written by 103 registered users of English Wikipedia and edited by 489 registered Wikipedia users in all languages.

The article is cited 238 times in English Wikipedia and cited 717 times in all languages.

The highest Authors Interest rank from 2001:

• Local (English): #1663 in March 2003
• Global: #4120 in March 2003

The highest popularity rank from 2008:

• Local (English): #65708 in October 2024
• Global: #78234 in November 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.

#	Language	Quality grade	Quality score
1	English (en) Hölder's inequality		40.2534
2	German (de) Hölder-Ungleichung		19.5496
3	Hungarian (hu) Hölder-egyenlőtlenség		18.9467
4	Turkish (tr) Hölder eşitsizliği		18.6591
5	Korean (ko) 횔더 부등식		17.038
6	Greek (el) Ανισότητα Χέλντερ		16.6499
7	Italian (it) Disuguaglianza di Hölder		14.5595
8	French (fr) Inégalité de Hölder		13.5279
9	Polish (pl) Nierówność Höldera		12.7815
10	Ukrainian (uk) Нерівність Гельдера		10.7635

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The following table shows the most popular language versions of the article.

The most popular language versions of the article "Hölder's inequality" in all the time

#	Language	Popularity award	Relative popularity
1	English (en) Hölder's inequality		2 020 533
2	German (de) Hölder-Ungleichung		361 311
3	French (fr) Inégalité de Hölder		278 935
4	Russian (ru) Неравенство Гёльдера		156 552
5	Japanese (ja) ヘルダーの不等式		129 435
6	Chinese (zh) 赫尔德不等式		107 773
7	Italian (it) Disuguaglianza di Hölder		102 640
8	Spanish (es) Desigualdad de Hölder		83 492
9	Vietnamese (vi) Bất đẳng thức Hölder		73 663
10	Polish (pl) Nierówność Höldera		59 459

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The following table shows the language versions of the article with the highest popularity in the last month.

The most popular language versions of the article "Hölder's inequality" in June 2025

#	Language	Popularity award	Relative popularity
1	English (en) Hölder's inequality		10 486
2	German (de) Hölder-Ungleichung		1 445
3	French (fr) Inégalité de Hölder		813
4	Russian (ru) Неравенство Гёльдера		807
5	Japanese (ja) ヘルダーの不等式		587
6	Chinese (zh) 赫尔德不等式		548
7	Italian (it) Disuguaglianza di Hölder		429
8	Polish (pl) Nierówność Höldera		310
9	Spanish (es) Desigualdad de Hölder		309
10	Vietnamese (vi) Bất đẳng thức Hölder		229

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

Language versions of the article "Hölder's inequality" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.

#	Language	AI award	Relative AI
1	English (en) Hölder's inequality		103
2	French (fr) Inégalité de Hölder		53
3	German (de) Hölder-Ungleichung		46
4	Italian (it) Disuguaglianza di Hölder		40
5	Russian (ru) Неравенство Гёльдера		27
6	Vietnamese (vi) Bất đẳng thức Hölder		25
7	Hungarian (hu) Hölder-egyenlőtlenség		24
8	Turkish (tr) Hölder eşitsizliği		22
9	Polish (pl) Nierówność Höldera		15
10	Chinese (zh) 赫尔德不等式		15

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

Language versions of the article "Hölder's inequality" with the highest AI in June 2025

#	Language	AI award	Relative AI
1	English (en) Hölder's inequality		1
2	Hungarian (hu) Hölder-egyenlőtlenség		1
3	Italian (it) Disuguaglianza di Hölder		1
4	Azerbaijani (az) Hölder bərabərsizliyi		0
5	Catalan (ca) Desigualtat de Hölder		0
6	Czech (cs) Hölderova nerovnost		0
7	Danish (da) Hölders ulighed		0
8	German (de) Hölder-Ungleichung		0
9	Greek (el) Ανισότητα Χέλντερ		0
10	Spanish (es) Desigualdad de Hölder		0

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The following table shows the language versions of the article with the highest number of citations.

Language versions of the article "Hölder's inequality" with the highest Citation Index (CI)

#	Language	CI award	Relative CI
1	English (en) Hölder's inequality		238
2	Italian (it) Disuguaglianza di Hölder		149
3	French (fr) Inégalité de Hölder		65
4	Ukrainian (uk) Нерівність Гельдера		40
5	German (de) Hölder-Ungleichung		31
6	Japanese (ja) ヘルダーの不等式		19
7	Chinese (zh) 赫尔德不等式		18
8	Spanish (es) Desigualdad de Hölder		16
9	Russian (ru) Неравенство Гёльдера		16
10	Portuguese (pt) Desigualdade de Hölder		13

More...

#	Language	Value
az	Azerbaijani Hölder bərabərsizliyi
ca	Catalan Desigualtat de Hölder
cs	Czech Hölderova nerovnost
da	Danish Hölders ulighed
de	German Hölder-Ungleichung
el	Greek Ανισότητα Χέλντερ
en	English Hölder's inequality
es	Spanish Desigualdad de Hölder
eu	Basque Hölderren desberdintza
fi	Finnish Hölderin epäyhtälö
fr	French Inégalité de Hölder
he	Hebrew אי-שוויון הלדר
hu	Hungarian Hölder-egyenlőtlenség
it	Italian Disuguaglianza di Hölder
ja	Japanese ヘルダーの不等式
ko	Korean 횔더 부등식
nl	Dutch Ongelijkheid van Hölder
pl	Polish Nierówność Höldera
pt	Portuguese Desigualdade de Hölder
ro	Romanian Inegalitatea Hölder
ru	Russian Неравенство Гёльдера
sv	Swedish Hölders olikhet
tr	Turkish Hölder eşitsizliği
uk	Ukrainian Нерівність Гельдера
vi	Vietnamese Bất đẳng thức Hölder
zh	Chinese 赫尔德不等式

Best Rank

English: #65708 10.2024

Global: #78234 11.2021

Best Rank

English: #1663 03.2003

Global: #4120 03.2003

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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