Article
Convergence of Multiple Series and I−variation
Authors
, , and
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.
Keywords
sequences, ideals, I-convergence, I-variation, multiple series.
Citation
Balaz, 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
V. Balaz, A. Faisant, G. Grekos and J. Kostra, “Convergence of multiple series and i−variation,” Uniform Distribution Theory, vol. 20, no. 1, pp. 144–153, 2025, doi: 10.2478/UDT-2025-0008.
Balaz V, Faisant A, Grekos G, Kostra J. Convergence of multiple series and i−variation. Uniform Distribution Theory. 2025;20(1):144–153. doi:10.2478/UDT-2025-0008.
Balaz, V., Faisant, A., Grekos, G. and Kostra, J. (2025), ‘Convergence of multiple series and i−variation’, Uniform Distribution Theory, 20(1), pp. 144–153. Available at: https://doi.org/10.2478/UDT-2025-0008.
Balaz, Vladimır, et al. “Convergence of Multiple Series and I−variation.” Uniform Distribution Theory, vol. 20, no. 1, 2025, pp. 144–153. https://doi.org/10.2478/UDT-2025-0008.
Balaz, Vladimır, Alain Faisant, Georges Grekos, and Juraj Kostra. “Convergence of Multiple Series and I−variation.” Uniform Distribution Theory 20, no. 1 (2025): 144–153. https://doi.org/10.2478/UDT-2025-0008.
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Published by: Engineering Journals
