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Matematicheskie Zametki, 2019, Volume 105, Issue 6, Pages 911–925
DOI: https://doi.org/10.4213/mzm11831 (Mi mzm11831) 		 
Estimate of the Norm of the Hermite–Fejér Interpolation Operator in Sobolev Spaces

A. I. Fedotov

Kazan (Volga Region) Federal University
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DOI: https://doi.org/10.4213/mzm11831
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.
Keywords: Hermite–Fejér interpolation operator, Sobolev spaces.
Received: 19.10.2017
English version:
Mathematical Notes, 2019, Volume 105, Issue 6, Pages 905–916
DOI: https://doi.org/10.1134/S0001434619050286
Bibliographic databases:
Document Type: Article
UDC: 517.518.823
Language: Russian
Citation: A. I. Fedotov, “Estimate of the Norm of the Hermite–Fejér Interpolation Operator in Sobolev Spaces”, Mat. Zametki, 105:6 (2019), 911–925; Math. Notes, 105:6 (2019), 905–916
Citation in format AMSBIB
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