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

Authors

  • Slavko Simić Matematički institut SANU, Kneza Mihaila 35, Beograd, Yugoslavia Author

Keywords:

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

Subjects:

30E10, 40E05

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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Published

2001-04-15

Issue

Vol. 53 No. 1–2 (2001): Vol. 53, Issue 1–2

Section

Articles

License

Copyright (c) 2001 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.