Integral-type operators on continuous function spaces on the real line

DOI10.1016/J.JAT.2007.11.002zbMath1156.41005OpenAlexW2072956348MaRDI QIDQ935066

Francesco Altomare, Sabina Milella

Publication date: 31 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jat.2007.11.002

zbMATH Keywords

integral operatordifferential operatorasymptotic formulashape-preserving propertyweighted continuous function space

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (5)

Multivariate approximation by modified Gauss-Weierstrass operators ⋮ On some approximation processes generated by integrated means on noncompact real intervals ⋮ Complete asymptotic expansions for Altomare operators ⋮ A complete asymptotic expansion for the quasi-interpolants of Gauß-Weierstraß operators ⋮ On a sequence of integral operators on weighted \(L^p\) spaces

Cites Work

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• Korovkin-type approximation theory and its applications
• Probability theory. Translated from the German by Robert B. Burckel
• Some probabilistic methods in the theory of approximation operators
• APPROXIMATION BY POSITIVE OPERATORS OF THE C₀–SEMIGROUPS ASSOCIATED WITH ONE-DIMENSIONAL DIFFUSION EQUATIONS: PART I
• Regular vector lattices of continuous functions and Korovkin-type theorems–-Part II
• Regular vector lattices of continuous functions and Korovkin-type theorems–-Part I

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