Convergence of Multiple Series and ℐ–Variation
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.
Authors
- Vladimír Baláž (ORCID: https://orcid.org/0000-0003-0574-1708)
- Georges Grekos
- Alain Faisant
- Juraj Kostra
Institutions
- University of Pardubice (CZ)
- Slovak Academy of Sciences (SK)
- Institut Camille Jordan (FR)
- Biomedical Research Center of the Slovak Academy of Sciences (SK)
- Université Jean Monnet (FR)
Publication Details
- Journal
- Uniform distribution theory
- Published
- 2025-05-01
- DOI
- https://doi.org/10.2478/udt-2025-0008
- Primary Topic
- Approximation Theory and Sequence Spaces
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agentúra na Podporu Výskumu a Vývoja
- Vedecká Grantová Agentúra MŠVVaŠ SR a SAV