Approximation of unbounded functions and applications to representations of semigroups

DOI10.1016/0021-9045(80)90078-7zbMath0452.41020OpenAlexW2015880269MaRDI QIDQ1148481

Sen-Yen Shaw

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-9045(80)90078-7

zbMATH Keywords

Korovkin's theoremGamma distributionapproximation by positive operatorsmultidimensional problemsrepresentation of semigroupsBernstein-OperatorsMirakjanSzasz- OperatorsPoisson's distribution

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36) Representation of semigroups; actions of semigroups on sets (20M30)

Related Items

Representation formulas for cosine and sine functions of operators. II, Some saturation properties of the representation formulae for \((C_ 0)\) \(m\)-parameter operator semigroups, Rates for approximation of unbounded functions by positive linear operators, Representation formulas for C-semigroups, Extension of Bernstein polynomials to infinite dimensional case, Semigroups of operators, cosine operator functions, and linear differential equations, A note on probabilistic representations of operator semigroups, Probabilistic representations of operator semigroups. A unifying approach, Approximation-theoretic aspects of probabilistic representations for operator semigroups, Approximation of \(^*\)weak-to-norm continuous mappings.

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