ABSTRACT
Haber’s Inequality If a+ b > 0, a 6= b then( a+ b
)n <
an + an−1b+ · · ·+ bn n+ 1
, n = 2, 3, . . . ; (1)
if a+ b < 0 then (1) holds if n is even, but if n is odd then (∼ 1) holds. Comments (i) This can be proved by induction. (ii) A special case of (1) is Polynomial Inequalities (4).
