Let a,b,c,p in R, p ≥ 0.$ If for any xin [-1,1], |ax^2+bx+c| ≤ p then, for any xin [-1,1], |cx^2+bx+a| ≤ 2p
Quadratic Inequalities on [-1,1]
Let a,b,c,p in R, p ≥ 0.$ If for any xin [-1,1], |ax^2+bx+c| ≤ p then, for any xin [-1,1], |cx^2+bx+a| ≤ 2p