Hölder's inequality

inequality between integrals in Lp spaces
Intangible theorem Q731894
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Hölder's inequality

Summary

Hölder's inequality is a theorem[1]. It ranks in the top 4% of theorem entities by monthly Wikipedia readership (778 views/month).[2]

Key Facts

  • Hölder's inequality's instance of is recorded as theorem[3].
  • Otto Hölder is named after Hölder's inequality[4].
  • Hölder's inequality's GND ID is recorded as 4849318-1[5].
  • Hölder's inequality's subclass of is recorded as inequality[6].
  • Hölder's inequality's Freebase ID is recorded as /m/01b5_x[7].
  • Hölder's inequality's defining formula is recorded as |f g|_1 \le |f|_p |g|_q[8].
  • Hölder's inequality's MathWorld ID is recorded as HoeldersInequalities[9].
  • Hölder's inequality's Great Russian Encyclopedia Online ID is recorded as 2349019[10].
  • Hölder's inequality's nLab ID is recorded as Hölder's inequality[11].
  • Hölder's inequality's maintained by WikiProject is recorded as WikiProject Mathematics[12].
  • Hölder's inequality's Microsoft Academic ID is recorded as 91558832[13].
  • Hölder's inequality's ProofWiki ID is recorded as Hölder's_Inequality[14].
  • Hölder's inequality's in defining formula is recorded as | \cdot |_1[15].
  • Hölder's inequality's in defining formula is recorded as |\cdot|_p[16].
  • Hölder's inequality's in defining formula is recorded as |\cdot|_q[17].
  • Hölder's inequality's in defining formula is recorded as f[18].
  • Hölder's inequality's in defining formula is recorded as g[19].
  • Hölder's inequality's in defining formula is recorded as p[20].
  • Hölder's inequality's in defining formula is recorded as q[21].
  • Hölder's inequality's Encyclopedia of Mathematics article ID is recorded as Hölder_inequality[22].
  • Hölder's inequality's generalization of is recorded as Hölder's inequality for sums[23].
  • Hölder's inequality's generalization of is recorded as Hölder's inequality for integrals[24].
  • Hölder's inequality's OpenAlex ID is recorded as C91558832[25].
  • Hölder's inequality's Great Russian Encyclopedia portal ID is recorded as neravenstvo-giol-dera-4deae5[26].

Why It Matters

Hölder's inequality ranks in the top 4% of theorem entities by monthly Wikipedia readership (778 views/month).[2] It has Wikipedia articles in 23 language editions, a strong signal of global cultural recognition.[27] It is known by 18 alternative names across languages and contexts.[28]

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] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . Freebase Data Dumps. wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.
  15. [17] . wikidata.org.
  16. [18] . wikidata.org.
  17. [19] . wikidata.org.
  18. [20] . wikidata.org.
  19. [21] . wikidata.org.
  20. [22] . wikidata.org.
  21. [23] . wikidata.org.
  22. [24] . wikidata.org.
  23. [25] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  24. [26] . wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . 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). Hölder's inequality. Retrieved May 3, 2026, from https://4ort.xyz/entity/h-lder-s-inequality
MLA “Hölder's inequality.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/h-lder-s-inequality.
BibTeX @misc{4ortxyz_h-lder-s-inequality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hölder's inequality}}, year = {2026}, url = {https://4ort.xyz/entity/h-lder-s-inequality}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hölder's inequality — https://4ort.xyz/entity/h-lder-s-inequality (retrieved 2026-05-03)

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