Shapiro inequality

inequality applying to sums of positive numbers
Class type of: inequality Q601134

Facts

4 properties
Instance of
theorem
Subclass of
inequality[2]
Defining formula
\sum_{i=1}^{n} \frac{x_i}{x_{i+1}+x_{i+2}} \geq \frac{n}{2}[3]
Maintained by WikiProject
WikiProject Mathematics[4]
🏷️ Also known as
en Shapiro inequality de Shapiro-Ungleichung es desigualdad de Shapiro fi Shapiron epäyhtälö fr inégalité de Shapiro hu Shapiro-egyenlőtlenség ja シャピロの不等式 ko 셔피로의 부등식 pl Nierówność Shapiro pt desigualdade de Shapiro tr Shapiro eşitsizliği uk Нерівність Шапіро vi Bất đẳng thức Shapiro
🔖 Identifiers · 3
Freebase ID
/m/0dshk8
Microsoft Academic ID (discontinued)
2780810935
PlanetMath ID
ShapiroInequality

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🔗 Connections
Examples 1
Instance of 1
Maintained by WikiProject 1
Subclass of 1
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Summary

Shapiro inequality is a theorem[1].

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APA 4ort.xyz Knowledge Graph. (2026). Shapiro inequality. Retrieved November 2, 2026, from https://4ort.xyz/entity/shapiro-inequality
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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: 2026-11-02}}
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