Lattice homomorphism -- Korovkin type inequalities for vector valued functions

DOI10.14492/HOKMJ/1351257969zbMath0902.46008OpenAlexW1978841660MaRDI QIDQ1365119

George A. Anastassiou

Publication date: 27 October 1997

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1351257969

zbMATH Keywords

inequalitiesuniform convergencemodulus of continuitylattice homomorphismsabstract Banach latticehigher order Fréchet derivativespace of continuous functions from a compact and convex subset of a normed vector spacespace of vector valued bounded functions

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Linear operator inequalities (47A63) Banach lattices (46B42) Spaces of operators; tensor products; approximation properties (46B28) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Linear operator approximation theory (47A58) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Linear operators on ordered spaces (47B60) Rate of convergence, degree of approximation (41A25) Positive linear operators and order-bounded operators (47B65) Banach spaces of continuous, differentiable or analytic functions (46E15) Approximation by positive operators (41A36) Topological lattices (06B30) Remainders in approximation formulas (41A80)

Related Items (3)

Multivariate and abstract approximation theory for Banach space valued functions ⋮ Complex Korovkin Theory via Inequalities: A Quantitative Approach ⋮ Quantitative multivariate complex Korovkin theory

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