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Uniform Distribution Theory
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Journal

Uniform Distribution Theory (UDT)


Volume & Issue

UDT. Volume 20. Issue 1 & 2


Published on

December, 2025


Pages

144-153


DOI

http://doi.org/10.2478/UDT-2025-0008

Article

Convergence of Multiple Series and ℐ–Variation


Authors

Vladimír Baláž, Alain Faisant, Georges Grekos and Juraj Kostra


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.


Citation

Baláž, V., Faisant, A., Grekos, G. & Kostra, J. (2025). Convergence of Multiple Series and ℐ–Variation. Uniform distribution theory, 20(1), 144-153. https://doi.org/10.2478/udt-2025-0008