Shapiro inequality

inequality applying to sums of positive numbers
Intangible theorem Q601134
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Shapiro inequality

Summary

Shapiro inequality is a theorem[1]. It draws 15 Wikipedia views per month (theorem category, ranking #262 of 1,306).[2]

Key Facts

  • Shapiro inequality's instance of is recorded as theorem[3].
  • Shapiro inequality's subclass of is recorded as inequality[4].
  • Shapiro inequality's Freebase ID is recorded as /m/0dshk8[5].
  • Shapiro inequality's defining formula is recorded as \sum_{i=1}^{n} \frac{x_i}{x_{i+1}+x_{i+2}} \geq \frac{n}{2}[6].
  • Shapiro inequality's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • Shapiro inequality's Microsoft Academic ID is recorded as 2780810935[8].
  • Shapiro inequality's PlanetMath ID is recorded as ShapiroInequality[9].

Why It Matters

Shapiro inequality draws 15 Wikipedia views per month (theorem category, ranking #262 of 1,306).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[10]

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

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