Email this article Estimate of the Norm of the Hermite—Fejér Interpolation Operator in Sobolev Spaces
- Authors: Fedotov A.I.1
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Affiliations:
- Kazan (Volga Region) Federal University
- Issue: Vol 105, No 5-6 (2019)
- Pages: 905-916
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151793
- DOI: https://doi.org/10.1134/S0001434619050286
- ID: 151793
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Abstract
Upper bounds for the norms of Hermite—Fejér interpolation operators in one-dimensional and multidimensional periodic Sobolev spaces are obtained. It is shown that, in the one-dimensional case, the norm of this operator is bounded. In the multidimensional case, the upper bound depends on the ratio of the numbers of nodes on separate coordinates.
About the authors
A. I. Fedotov
Kazan (Volga Region) Federal University
Author for correspondence.
Email: fedotovkazan@mail.ru
Russian Federation, Kazan, 420008
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