MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Best $\lambda$-approximations for analytic functions of medium growth on the unit disc
Slavko Simić

Abstract

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.

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Keywords: Best $\lambda$-approximation, Karamata's Tauberian theorem.

MSC: 30E10, 40E05

Pages:  15$-$19     

Volume  53 ,  Issue  1$-$2 ,  2001