Asymptotic expansions of the representation formulae for (C0) m-parameter operator semigroups1.2

DOI10.1080/01630569508816673zbMath0849.41025OpenAlexW2031071043MaRDI QIDQ4883636

Mi Zhou, George A. Anastassiou

Publication date: 15 October 1996

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569508816673

zbMATH Keywords

asymptotic expansionsBernstein operatorsFeller operators\(m\)-parameter operator semigroups

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (1)

Some saturation properties of the representation formulae for \((C_ 0)\) \(m\)-parameter operator semigroups

Cites Work

• Probabilistic representations of operator semigroups. A unifying approach
• Lipschitz constants for some approximation operators of a Lipschitz continuous function
• Approximation-theoretic aspects of probabilistic representations for operator semigroups
• Asymptotic formulae of multivariate Bernstein approximation
• Some probabilistic methods in the theory of approximation operators

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