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1993 ITAMO
5
Muirhead theorem??? (Italy 1993)
Muirhead theorem??? (Italy 1993)
Source:
June 4, 2015
inequalities
Problem Statement
Prove the following inequality for any positive real numbers a,b,c not exceeding 1
a
2
b
+
b
2
c
+
c
2
a
+
1
≥
a
2
+
b
2
+
c
2
a^2b+b^2c+c^2a+1\ge a^2+b^2+c^2
a
2
b
+
b
2
c
+
c
2
a
+
1
≥
a
2
+
b
2
+
c
2
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