In this paper we have studied interpolation errors for
functions in C(E), the normed algebra of analytic functions on
a compact set E. The lower (p, q)-order and generalized lower
(p, q)-type have been characterized in terms of these approximation errors. Finally, we have derived necessary conditions for
f $ \in C(E)$ to be extended to an entire function of perfectly regular
(p, q)-growth with respect to a proximate order.
