On the uniform convergence of weighted trigonometric series

• Autorzy: Bogdan Szal
• Języki publikacji: EN

Abstrakty

EN

In the present paper we consider a new class of sequences called GM(β,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 (β,r)-general monotone coefficients.

Kategorie tematyczne

• 42A10: Trigonometric approximation
• 40A30: Convergence and divergence of series and sequences of functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 92
• Numer: 1
• Strony: 339-350

Daty

wydano

2011

Twórcy

autor

Bogdan Szal

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

Identyfikatory

DOI

10.4064/bc92-0-23