Approximation of the \(r\)th differential operator by means of linear shape preserving operators of finite rank.

DOI10.1016/J.JAT.2003.09.011zbMath1042.41016OpenAlexW1979047939MaRDI QIDQ1421505

Sergei P. Sidorov

Publication date: 26 January 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2003.09.011

zbMATH Keywords

Korovkin-type resultsOrder of approximationShape preserving property

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35)

Cites Work

• Quantitative Korovkin type theorems on simultaneous approximation
• On the order of approximation of continuous functions by positive linear operators of finite rank
• Ein Satz vom Korovkin-Typ für \(C^k\)- Räume
• Qualitative Korovkin-type results on conservative approximation
• On the degree of the approximation of functions of several variables by linear positive operators of finite rank
• Almost convexity and quantitative Korovkin type results
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