Rate of convergence in Trotter's approximation theorem
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Publication:1039888
DOI10.1007/s00365-008-9017-zzbMath1181.41024OpenAlexW1970342353MaRDI QIDQ1039888
Michele Campiti, Cristian Tacelli
Publication date: 23 November 2009
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00365-008-9017-z
Related Items (13)
Approximation by generalized bivariate Kantorovich sampling type series ⋮ Edgeworth expansions for centered random walks on covering graphs of polynomial volume growth ⋮ Trotter's approximation of semigroups and order of convergence in \(C^{2, \alpha }\)-spaces ⋮ Multiplicative perturbations of the Laplacian and related approximation problems ⋮ Rate of convergence in Trotter's approximation theorem and its applications ⋮ Limit theorems for iterates of the Szász-Mirakyan operator in probabilistic view ⋮ Quantitative results for the limiting semigroup generated by the multidimensional Bernstein operators ⋮ Generalized Sampling Approximation of Bivariate Signals: Rate of Pointwise Convergence ⋮ Erratum to: Rate of convergence in Trotter's approximation theorem ⋮ Direct sums of Voronovskaja's type formulas ⋮ On the order of convergence of Voronovskaja-type formulas ⋮ Spectral methods for nonlinear functionals and functional differential equations ⋮ Approximation processes for resolvent operators
Cites Work
- Approximation of semi-groups of operators
- The limiting semigroup of the Bernstein iterates: degree of convergence
- Semigroups of linear operators and applications to partial differential equations
- Korovkin-type approximation theory and its applications
- A quantitative version of Trotter's approximation theorem
- A generalization of Stancu-Mühlbach operators
- A class of degenerate diffusion processes occurring in population genetics
- One-Parameter Semigroups for Linear Evolution Equations
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