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Chebyshev's sum inequality

inequality relating two increasing sequences of numbers, or one decreasing and another increasing sequence
Thing inequality Q1428736

Facts

4 properties
Instance of
inequality, theorem[3]
Discoverer or inventor
Pafnuty Chebyshev[2]
Maintained by WikiProject
WikiProject Mathematics[5]
Named after
Pafnuty Chebyshev[4]
🏷️ Also known as
en Chebyshev's sum inequality ar متباينة المجموع لتشيبيشيف cs Čebyševova nerovnost pro konečné součty de Tschebyscheff-Summenungleichung de Tschebyscheff-Ungleichung (Arithmetik) es Desigualdad de la suma de Chebyshov fi Tšebyševin summaepäyhtälö fi Tšebyšovin summaepäyhtälö fi Tshebyshevin summaepäyhtälö fr inégalité de Tchebychev pour les sommes he אי-שוויון הסדר של צ'בישב he אי-שוויון הסכומים של צ'בישב it Disuguaglianza di Chebyshev sulla somma it Disuguaglianza di Čebyšëv sulla somma ja チェビシェフの和の不等式 pl Tożsamość Czebyszewa pl Tożsamość Czebyszowa ru неравенство Чебышева для сумм ru неравенство Чебышёва для сумм tr Çebışov toplam eşitsizliği
🔖 Identifiers · 3
Freebase ID
/m/03rpdb
MathWorld ID
ChebyshevSumInequality
Microsoft Academic ID (discontinued)
95706243

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🔗 Connections
Instance of 2
theorem, inequality
Created notable works 1
Pafnuty Chebyshev
Discoverer or inventor 1
Pafnuty Chebyshev
Maintained by WikiProject 1
WikiProject Mathematics
Named after 1
Pafnuty Chebyshev
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Summary

Chebyshev's sum inequality is an inequality[1].

Related Entities

Pafnuty Chebyshev

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [2] ↑ . wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

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BibTeX @misc{4ortxyz_chebyshev-s-sum-inequality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Chebyshev's sum inequality}}, year = {2026}, url = {https://4ort.xyz/entity/chebyshev-s-sum-inequality}, note = {Accessed: 2026-11-04}}
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