Let
![H[s(\\bullet ),t]](/images/tex/12228.gif)
be a functional of the function

and the independent variable

. The criterion functional

is defined to be the integral of

over

, a set of points

. The problem considered is the maximization of

with respect to an amplitudeconstrained function

. Necessary conditons for the optimal solution are obtained, and a method of determining the optimum

is given. Some examples are presented to clarify the theorems and their applications.