A Sample problem from my book


One of the most beautiful inequalities in this stuff is

Let a,b,c,d be non-negative real numbers such that a^2+b^2+c^2+d^2=1. Prove that

a+b+c+d\geq a^3+b^3+c^3+d^3+ab+bc+cd+da+ac+bd

 For other, see

sample-ineqs1.pdf



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