Hölder's inequality for sums

Intangible theorem Q117184219
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Hölder's inequality for sums

Summary

Hölder's inequality for sums is a theorem[1].

Key Facts

  • Hölder's inequality for sums's instance of is recorded as theorem[2].
  • Hölder's inequality for sums's subclass of is recorded as inequality[3].
  • Hölder's inequality for sums's subclass of is recorded as Hölder's inequality[4].
  • Hölder's inequality for sums's defining formula is recorded as |\boldsymbol{x} \circ \boldsymbol{y}|_1 \leq |\boldsymbol{x}|_p |\boldsymbol{y}|_q[5].
  • Hölder's inequality for sums's defining formula is recorded as \sum_{i = 1}^n x_i y_i \leq \left( \sum_{i = 1}^n x_i^p \right)^{1/p} \left( \sum_{i = 1}^n y_i^q \right)^{1/q}[6].
  • Hölder's inequality for sums's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • Hölder's inequality for sums's ProofWiki ID is recorded as Hölder's_Inequality_for_Sums[8].
  • Hölder's inequality for sums's in defining formula is recorded as \boldsymbol{x}[9].
  • Hölder's inequality for sums's in defining formula is recorded as \boldsymbol{y}[10].
  • Hölder's inequality for sums's in defining formula is recorded as \circ[11].
  • Hölder's inequality for sums's in defining formula is recorded as |\boldsymbol{x}|_1[12].
  • Hölder's inequality for sums's in defining formula is recorded as |\boldsymbol{x}|_p[13].
  • Hölder's inequality for sums's in defining formula is recorded as x_i[14].
  • Hölder's inequality for sums's in defining formula is recorded as y_i[15].
  • Hölder's inequality for sums's in defining formula is recorded as n[16].
  • Hölder's inequality for sums's in defining formula is recorded as \sum_{i = 1}^n[17].
  • Hölder's inequality for sums's in defining formula is recorded as p[18].
  • Hölder's inequality for sums's in defining formula is recorded as q[19].
  • Hölder's inequality for sums's generalization of is recorded as Cauchy–Schwarz inequality for sums[20].
  • Hölder's inequality for sums's Digital Library of Mathematical Functions ID is recorded as 1.7.E2[21].
  • Hölder's inequality for sums's Digital Library of Mathematical Functions ID is recorded as 1.2.E50[22].

References

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

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . wikidata.org.
  21. [22] . wikidata.org.

Class ancestry

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

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APA 4ort.xyz Knowledge Graph. (2026). Hölder's inequality for sums. Retrieved May 3, 2026, from https://4ort.xyz/entity/h-lder-s-inequality-for-sums
MLA “Hölder's inequality for sums.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/h-lder-s-inequality-for-sums.
BibTeX @misc{4ortxyz_h-lder-s-inequality-for-sums_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hölder's inequality for sums}}, year = {2026}, url = {https://4ort.xyz/entity/h-lder-s-inequality-for-sums}, 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 for sums — https://4ort.xyz/entity/h-lder-s-inequality-for-sums (retrieved 2026-05-03)

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