Open Access

On the Coefficients of Multiple Series with Respect to Vilenkin System

Valentin A. Skvortsov

Valentin A. Skvortsov

Department of Mathematics, Moscow State UniversityMoscow,
Search for this author on
Sciendo|Google Scholar
Skvortsov, Valentin A.
 and 
Francesco Tulone

Francesco Tulone

Department of Mathematics and Computer Sciences, Palermo UniversityPalermo, Italy
Search for this author on
Sciendo|Google Scholar
Tulone, Francesco
  
Nov 18, 2017
On the Coefficients of Multiple Series with Respect to Vilenkin System's Cover Image
About this article
Previous Article
Next Article
Cite
Download Cover
Published Online: Nov 18, 2017
Page range: 81 - 92
Received: Nov 11, 2016
DOI: https://doi.org/10.1515/tmmp-2017-0007
Keywords
© 2017 Valentin A. Skvortsov et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

We give a sufficient condition for coefficients of double series Σ Σn,man,m χn,m with respect to Vilenkin system to be convergent to zero when n + m → ∞. This result can be applied to the problem of recovering coefficients of a Vilenkin series from its sum.

Language:
English
Publication timeframe:
3 times per year
Journal Subjects:
Mathematics, General Mathematics
Journal RSS Feed