Best Lambda-approximations for Analytic Functions of Medium Growth on the Unit Disc


Slavko Simiæ


In this paper we investigate the asymptotic relation between maximum moduli of a class of functions analytic on the unit disc and their partial sums, i.e. we formulate the problem of best $\lambda$-approximations. We also give an application of our results to Karamata's Tauberian Theorem for series.