Nesbitt's inequality

inequality applying to three positive numbers
Thing inequation Q370642

Facts

5 properties
Defining formula
\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}\geq\frac{3}{2}[5]
Maintained by WikiProject
WikiProject Mathematics[6]
Named after
Alfred Mortimer Nesbitt[3]
Time of discovery or invention
1903[4]
🏷️ Also known as
en Nesbitt inequality en Nesbitt's inequality ar متفاوتة نسبيت de Nesbitts Ungleichung de Nesbitt-Ungleichung el ανισότητα Nesbitt el ανισότητα Νέσμπιττ es Desigualdad de Nesbitt fi Nesbittin epäyhtälö fr inégalité de Nesbitt hu Nesbitt-egyenlőtlenség ja Nesbittの不等式 ja ネスビットの不等式 ko 네즈빗의 부등식 pl Nierówność Nesbitta ru неравенство Несбитта sv Nesbitts olikhet uk Нерівність Несбіта vi Bất đẳng thức Nesbitt zh 內斯比特不等式
🔖 Identifiers · 2
Freebase ID
/m/0532s2
Microsoft Academic ID (discontinued)
2778884793

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🔗 Connections
Instance of 2
Maintained by WikiProject 1
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Summary

Nesbitt's inequality is an inequation[1].

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BibTeX @misc{4ortxyz_nesbitt-s-inequality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Nesbitt's inequality}}, year = {2026}, url = {https://4ort.xyz/entity/nesbitt-s-inequality}, note = {Accessed: 2026-11-03}}
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