Bernstein's inequality

mathematical inequality bounding the derivative of a polynomial by its degree and maximum value
Intangible theorem Q6449702
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Bernstein's inequality

Summary

Bernstein's inequality is a theorem[1]. It draws 7 Wikipedia views per month (theorem category, ranking #271 of 1,306).[2]

Key Facts

  • Bernstein's inequality is credited with the discovery of Sergei Natanovich Bernstein[3].
  • Bernstein's inequality's instance of is recorded as theorem[4].
  • Bernstein's inequality's instance of is recorded as inequality[5].
  • Sergei Natanovich Bernstein is named after Bernstein's inequality[6].
  • Bernstein's inequality's subclass of is recorded as Bernstein's theorem (polynomials)[7].
  • Bernstein's inequality's time of discovery or invention is recorded as +1912-00-00T00:00:00Z[8].
  • Bernstein's inequality's facet of is recorded as approximation theory[9].
  • Bernstein's inequality's facet of is recorded as trigonometric polynomial[10].
  • Bernstein's inequality's Google Knowledge Graph ID is recorded as /g/11h1v8bg_[11].
  • Bernstein's inequality's maintained by WikiProject is recorded as WikiProject Mathematics[12].

Body

Works and Contributions

Bernstein's inequality is credited with the discovery of Sergei Natanovich Bernstein[3].

Why It Matters

Bernstein's inequality draws 7 Wikipedia views per month (theorem category, ranking #271 of 1,306).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[13] It is known by 4 alternative names across languages and contexts.[14]

References

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

Direct Wikidata claims

  1. [4] . wikidata.org.
  2. [5] . wikidata.org.
  3. [3] . 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] . 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). Bernstein's inequality. Retrieved May 3, 2026, from https://4ort.xyz/entity/bernstein-s-inequality
MLA “Bernstein's inequality.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/bernstein-s-inequality.
BibTeX @misc{4ortxyz_bernstein-s-inequality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Bernstein's inequality}}, year = {2026}, url = {https://4ort.xyz/entity/bernstein-s-inequality}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Bernstein's inequality — https://4ort.xyz/entity/bernstein-s-inequality (retrieved 2026-05-03)

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