Bernstein's theorem

in approximation theory, a converse to Jackson's theorem
Intangible theorem Q4894565
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Bernstein's theorem

Summary

Bernstein's theorem is a theorem[1]. It draws 7 Wikipedia views per month (theorem category, ranking #274 of 1,306).[2]

Key Facts

  • Bernstein's theorem's instance of is recorded as theorem[3].
  • Sergei Natanovich Bernstein is named after Bernstein's theorem[4].
  • Bernstein's theorem's part of is recorded as list of theorems[5].
  • Bernstein's theorem's Freebase ID is recorded as /m/0gwyvj9[6].
  • Bernstein's theorem's facet of is recorded as approximation theory[7].
  • Bernstein's theorem's different from is recorded as Bernstein's theorem (polynomials)[8].
  • Bernstein's theorem's defining formula is recorded as \sup_{0 \leq x \leq 2\pi} |f(x) - P_n(x)| \leq \frac{C(f)}{n^{r + \alpha}}[9].
  • Bernstein's theorem's maintained by WikiProject is recorded as WikiProject Mathematics[10].

Why It Matters

Bernstein's theorem draws 7 Wikipedia views per month (theorem category, ranking #274 of 1,306).[2]

📑 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 theorem. Retrieved May 3, 2026, from https://4ort.xyz/entity/bernstein-s-theorem
MLA “Bernstein's theorem.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/bernstein-s-theorem.
BibTeX @misc{4ortxyz_bernstein-s-theorem_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Bernstein's theorem}}, year = {2026}, url = {https://4ort.xyz/entity/bernstein-s-theorem}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Bernstein's theorem — https://4ort.xyz/entity/bernstein-s-theorem (retrieved 2026-05-03)

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