Bessel's inequality

theorem
Intangible theorem Q794042
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Bessel's inequality

Summary

Bessel's inequality is a theorem[1]. It draws 93 Wikipedia views per month (theorem category, ranking #200 of 1,306).[2]

Key Facts

  • Bessel's inequality's instance of is recorded as theorem[3].
  • Friedrich Bessel is named after Bessel's inequality[4].
  • Bessel's inequality's Freebase ID is recorded as /m/05278d[5].
  • Bessel's inequality's defining formula is recorded as \sum_{k=1}^{\infty}\left\vert\left\langle x,e_k\right\rangle \right\vert^2 \le \left\Vert x\right\Vert^2[6].
  • Bessel's inequality's MathWorld ID is recorded as BesselsInequality[7].
  • Bessel's inequality's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Bessel's inequality's Microsoft Academic ID is recorded as 59037737[9].
  • Bessel's inequality's Encyclopedia of Mathematics article ID is recorded as Bessel_inequality[10].
  • Bessel's inequality's Lex ID is recorded as Bessels_ulighed[11].
  • Bessel's inequality's OpenAlex ID is recorded as C59037737[12].

Why It Matters

Bessel's inequality draws 93 Wikipedia views per month (theorem category, ranking #200 of 1,306).[2] It has Wikipedia articles in 17 language editions, a strong signal of global cultural recognition.[13] It is known by 6 alternative names across languages and contexts.[14]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . Freebase Data Dumps. wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [13] . Wikidata sitelinks. wikidata.org.
  3. [14] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Bessel's inequality. Retrieved May 3, 2026, from https://4ort.xyz/entity/bessel-s-inequality
MLA “Bessel's inequality.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/bessel-s-inequality.
BibTeX @misc{4ortxyz_bessel-s-inequality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Bessel's inequality}}, year = {2026}, url = {https://4ort.xyz/entity/bessel-s-inequality}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Bessel's inequality — https://4ort.xyz/entity/bessel-s-inequality (retrieved 2026-05-03)

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