Mahler's inequality

inequality relating geometric mean of two finite sequences of positive numbers to the sum of each separate geometric mean
Thing inequality Q865371
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Mahler's inequality

Summary

Mahler's inequality is an inequality[1]. It draws 6 Wikipedia views per month (inequality category, ranking #20 of 41).[2]

Key Facts

  • Mahler's inequality's instance of is recorded as inequality[3].
  • Mahler's inequality's instance of is recorded as theorem[4].
  • Kurt Mahler is named after Mahler's inequality[5].
  • Mahler's inequality's Freebase ID is recorded as /m/04y6mz8[6].
  • Mahler's inequality's defining formula is recorded as \prod_{k=1}^n (x_k + y_k)^{1/n} \ge \prod_{k=1}^n x_k^{1/n} + \prod_{k=1}^n y_k^{1/n}[7].
  • Mahler's inequality's maintained by WikiProject is recorded as WikiProject Mathematics[8].

Why It Matters

Mahler's inequality draws 6 Wikipedia views per month (inequality category, ranking #20 of 41).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[9]

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

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