# Publishing house / Banach Center Publications / All volumes

## On the uniform convergence of weighted trigonometric series

### Volume 92 / 2011

Banach Center Publications 92 (2011), 339-350 MSC: 40A30, 42A10. DOI: 10.4064/bc92-0-23

#### Abstract

In the present paper we consider a new class of sequences called $GM( \beta ,r)$, which is the generalization of a class defined by Tikhonov in [15]. We obtain sufficient and necessary conditions for uniform convergence of weighted trigonometric series with $( \beta ,r)$-general monotone coefficients.

#### Authors

• Bogdan SzalFaculty of Mathematics
Computer Science and Econometrics
University of Zielona Góra
ul. Szafrana 4a
65-516 Zielona Góra, Poland
e-mail

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