Convergence of Multiple Series and ℐ–Variation

Vladimír Baláž; Alain Faisant; Georges Grekos; Juraj Kostra

doi:10.2478/udt-2025-0008

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Convergence of Multiple Series and ℐ–Variation

Uniform distribution theory

Volume 20 (2025): Issue 1 (May 2025)

By: Vladimír Baláž, Alain Faisant, Georges Grekos and Juraj Kostra

Open Access

|Dec 2025

Abstract

In the classical theory of multiple series the notion of variation of a sequence plays an important role. According to the concept of ℐ−convergence the notion of ℐ−variation of a sequence was recently introduced. In this paper we will examine applications of ℐ−variation of a sequence mainly in the theory of multiple series in particular in relation with the notion of ℐ−convergence.

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Articles in this issue

DOI: https://doi.org/10.2478/udt-2025-0008 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X

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Language: English

Page range: 144 - 153

Submitted on: Nov 29, 2024

Accepted on: Jan 7, 2025

Published on: Dec 31, 2025

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

ideals,

Related subjects:

Algebra and number theory,

Discrete mathematics,

Probability and statistics,

Numerical and computational mathematics

© 2025 Vladimír Baláž, Alain Faisant, Georges Grekos, Juraj Kostra, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 20 (2025): Issue 1 (May 2025)