On the Coefficients of Multiple Series with Respect to Vilenkin System

Valentin A. Skvortsov; Francesco Tulone

doi:10.1515/tmmp-2017-0007

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On the Coefficients of Multiple Series with Respect to Vilenkin System

Tatra Mountains Mathematical Publications

Volume 68 (2017): Issue 1 (March 2017)

By: Valentin A. Skvortsov and Francesco Tulone

Open Access

|Nov 2017

Abstract

We give a sufficient condition for coefficients of double series Σ Σ_n,ma_n,m χ_n,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.

References

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Articles in this issue

DOI: https://doi.org/10.1515/tmmp-2017-0007 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 81 - 92

Submitted on: Nov 11, 2016

Published on: Nov 18, 2017

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Vilenkin system,

multiple Vilenkin series,

rectangular convergence,

Perron integral,

Saks continuity,

recovering the coefficients

Related subjects:

Mathematics,

General mathematics

© 2017 Valentin A. Skvortsov, Francesco Tulone, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 68 (2017): Issue 1 (March 2017)