Generalized Fourier series

en

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Generalized Fourier series

Quality:

Generalized Fourier series - decompositions of inner product spaces into orthonormal bases. Article “Generalized Fourier series” in English Wikipedia has 21.9 points for quality (as of July 1, 2025). The article contains 6 references and 9 sections. The article also contains templates indicating quality issues, therefore its score was reduced by 1.15 points.

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

Since the creation of article “Generalized Fourier series”, its content was written by 53 registered users of English Wikipedia and edited by 64 registered Wikipedia users in all languages.

The article is cited 27 times in English Wikipedia and cited 45 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #21314 in August 2024
  • Global: #43358 in June 2003

The highest popularity rank from 2008:

  • Local (English): #546510 in April 2008
  • Global: #875847 in April 2008

There are 4 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)
Generalized Fourier series
21.9183
2Catalan (ca)
Sèrie de Fourier generalitzada
19.1982
3French (fr)
Série de Fourier généralisée
13.6421
4Norwegian (Nynorsk) (nn)
Generelle fourierrekkjer
10.0015
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 "Generalized Fourier series" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Generalized Fourier series
151 080
2French (fr)
Série de Fourier généralisée
8 857
3Norwegian (Nynorsk) (nn)
Generelle fourierrekkjer
1 360
4Catalan (ca)
Sèrie de Fourier generalitzada
63
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 "Generalized Fourier series" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Generalized Fourier series
638
2French (fr)
Série de Fourier généralisée
63
3Norwegian (Nynorsk) (nn)
Generelle fourierrekkjer
7
4Catalan (ca)
Sèrie de Fourier generalitzada
3
More...

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

The highest AI

Language versions of the article "Generalized Fourier series" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Generalized Fourier series
53
2French (fr)
Série de Fourier généralisée
9
3Catalan (ca)
Sèrie de Fourier generalitzada
1
4Norwegian (Nynorsk) (nn)
Generelle fourierrekkjer
1
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 "Generalized Fourier series" with the highest AI in June 2025
#LanguageAI awardRelative AI
1Catalan (ca)
Sèrie de Fourier generalitzada
0
2English (en)
Generalized Fourier series
0
3French (fr)
Série de Fourier généralisée
0
4Norwegian (Nynorsk) (nn)
Generelle fourierrekkjer
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 "Generalized Fourier series" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Generalized Fourier series
27
2French (fr)
Série de Fourier généralisée
13
3Norwegian (Nynorsk) (nn)
Generelle fourierrekkjer
3
4Catalan (ca)
Sèrie de Fourier generalitzada
2
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
caCatalan
Sèrie de Fourier generalitzada
enEnglish
Generalized Fourier series
frFrench
Série de Fourier généralisée
nnNorwegian (Nynorsk)
Generelle fourierrekkjer

Popularity rank trends

Best Rank English:
#546510
04.2008
Global:
#875847
04.2008

AI rank trends

Best Rank English:
#21314
08.2024
Global:
#43358
06.2003

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Generalized Fourier series from Wikipedia articles about Approximation theory, Fourier–Bessel series, Orthogonal functions, Fourier analysis and Orthogonal polynomials. Whereas reading the article about Generalized Fourier series people most often go to Wikipedia articles on Square-integrable function, Fourier series, Sturm–Liouville theory, Fractional Fourier transform and Eigenfunction.

Cumulative results of quality and popularity of the Wikipedia article

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

News from 21 February 2026

On 21 February 2026 in multilingual Wikipedia, Internet users most often read articles on the following topics: Jeffrey Epstein, Alysa Liu, Eric Dane, 2026 Winter Olympics, Rebecca Gayheart, Johannes Høsflot Klæbo, Wuthering Heights, amyotrophic lateral sclerosis, Andrew Mountbatten-Windsor, John F. Kennedy Jr..

In English Wikipedia the most popular articles on that day were: Eric Dane, Alysa Liu, Rebecca Gayheart, Jeffrey Epstein, 2026 Winter Olympics, Eileen Gu, John F. Kennedy Jr., Carolyn Bessette Kennedy, Deaths in 2026, Johannes Høsflot Klæbo.

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