Email this article Upper bounds for uniform Lebesgue constants of interpolation periodic sourcewise representable splines
- Authors: Shevaldin V.T.1,2, Shevaldina O.Y.2
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Affiliations:
- Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University
- Issue: Vol 297, No Suppl 1 (2017)
- Pages: 175-181
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174830
- DOI: https://doi.org/10.1134/S0081543817050182
- ID: 174830
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Abstract
Upper bounds for Lebesgue constants (norms of linear operators from C to C) of interpolation periodic sourcewise representable splines with uniform knots are obtained for a wide class of periodic integrable kernels K.
About the authors
V. T. Shevaldin
Krasovskii Institute of Mathematics and Mechanics; Ural Federal University
Author for correspondence.
Email: Valerii.Shevaldin@imm.uran.ru
Russian Federation, Yekaterinburg, 620990; Yekaterinburg, 620002
O. Ya. Shevaldina
Ural Federal University
Email: Valerii.Shevaldin@imm.uran.ru
Russian Federation, Yekaterinburg, 620002
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