Blahota, István (2025) Approximation by de La Vallée Poussin type matrix transform of Vilenkin-Fourier series. Annales Mathematicae et Informaticae, 62. pp. 1-25. ISSN 1787-5021 (Print) 1787-6117 (Online)
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Official URL: https://doi.org/10.33039/ami.2025.06.002
Abstract
In the present paper, we discuss the rate of the approximation by de La Vallée Poussin type matrix transform means of Vilenkin-Fourier series in Lp(Gm) spaces (1 ≤ p < ∞) and in C(Gm). Moreover, we present an application for functions in Lipschitz classes Lip (α,p,Gm) (α > 0, 1 ≤ p < ∞) and Lip (α,C(Gm)) (α > 0).
| Item Type: | Article |
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| Uncontrolled Keywords: | Vilenkin group, Vilenkin system, Vilenkin-Fourier series, rate of approximation, modulus of continuity, Lipschitzfunction,deLaValléePoussin summation, matrix transform means |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Barbara Nagy |
| Date Deposited: | 02 Aug 2026 15:21 |
| Last Modified: | 02 Aug 2026 15:21 |
| URI: | https://real.mtak.hu/id/eprint/243693 |
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