MathDB
Does there exist

Source:

August 9, 2012
floor functioninequalities proposedinequalities

Problem Statement

Let a,b,c,d a,b,c,d be positive real numbers and cd=1cd=1. Prove that there exists a positive integer nn such that abn2(a+c)(b+d)ab\leq n^2\leq (a+c)(b+d)