Jackson-Type Inequalities in the Spaces S(p,q) (σm−1)
- Authors: Lasuriya R.A.1
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Affiliations:
- Abkhaz University
- Issue: Vol 105, No 5-6 (2019)
- Pages: 707-719
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151735
- DOI: https://doi.org/10.1134/S0001434619050079
- ID: 151735
Cite item
Abstract
In the case of approximation of functions by using linear methods of summation of their Fourier-Laplace series in the spaces S(p,q) (σm−1), m ≥ 3, for classes of functions defined by transformations of their Fourier-Laplace series using multipliers, Jackson-type inequalities are established in terms of operators which are also defined by the corresponding transformations of the Fourier-Laplace series.
About the authors
R. A. Lasuriya
Abkhaz University
Author for correspondence.
Email: rlasuria67@yandex.ru
Georgia, Sukhum, 384904 Abkhazia
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