The best polynomial approximation of functions analytic in the unit circle

In the Banach space (p,q,), studied by M. I. Gvaradze, we establish a relation between the best polynomial approximation of an entire transcendental function and such important characteristics as its order of growth and its type.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 838–843, June, 1990.