Levinson's inequality

inequality on positive numbers and a function of positive third derivative
Thing inequality Q3154004
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Levinson's inequality

Summary

Levinson's inequality is an inequality[1]. It draws 1 Wikipedia views per month (inequality category, ranking #25 of 41).[2]

Key Facts

  • Levinson's inequality's instance of is recorded as inequality[3].
  • Levinson's inequality's instance of is recorded as theorem[4].
  • Norman Levinson is named after Levinson's inequality[5].
  • Levinson's inequality's Freebase ID is recorded as /m/0262vk9[6].
  • Levinson's inequality's defining formula is recorded as \frac{\sum_{i=1}^np_i f(x_i)}{\sum_{i=1}^np_i}-f\left(\frac{\sum_{i=1}^np_ix_i}{\sum_{i=1}^np_i}\right)\le\frac{\sum_{i=1}^np_if(2a-x_i)}{\sum_{i=1}^np_i}-f\left(\frac{\sum_{i=1}^np_i(2a-x_i)}{\sum_{i=1}^np_i}\right)[7].
  • Levinson's inequality's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Levinson's inequality's generalization of is recorded as Ky Fan inequality[9].

Why It Matters

Levinson's inequality draws 1 Wikipedia views per month (inequality category, ranking #25 of 41).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[10]

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

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