Widths of certain classes of entire functions

The asymptotic behaviour of widths of classes of entire functions in the uniform metric on a compact set is studied. A logarithmic asymptotic formula is obtained which contains not only the natural parameters defining the growth at infinity of functions in the, class under consideration, but also the capacity of the compact set. Under certain additional conditions a weak asymptotic formula is obtained. An example of the calculation of the strong asymptotics is presented.