ABSTRACT

As the first chapter in this preliminary part, some technical lemmas are presented here, which are to be used in the following parts.

2.1 Generalized Square Inequalities For arbitrary scalars x, y, and δ > 0, we have

(√ δx − 1√

δ y )2

= δx2 + 1 δ y2 − 2xy ≥ 0,

from which we obtain

2xy ≤ δx2 + 1 δ y2.