where \pi_n denots the class of all polynomials of degree at most n. Then the authors prove the following. i) There is a sequence {g(n) } ^oo_{n = 0} and an entire function f of infinite order so that for infinitely many n, \lambda_0,n \leq l/g(n). (ii) Let f(z) = sum ^oo_{k = 0}a_kz^k, a₀ > 0, a_k \geq 0, (k \geq 1) be an entire function of finite lower order \beta. Then for each \epsilon > 0,

Reviewer:  A.R.Reddy
Classif.:  * 41A20 Approximation by rational functions
                   41A50 Best approximation
                   41A25 Degree of approximation, etc.

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