Convergence of operators and Korovkin's theorem

DOI10.1016/0021-9045(68)90016-6zbMath0167.12904OpenAlexW1999793194MaRDI QIDQ2530408

Daniel Wulbert

Publication date: 1968

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

Full work available at URL: https://doi.org/10.1016/0021-9045(68)90016-6

zbMATH Keywords

functional analysis

Related Items

Korovkin-type theorems for abstract modular convergence ⋮ Bohman-Korovkin-Wulbert operators from a function space into a commutative \(C^*\)-algebra for special test functions ⋮ Weak Korovkin spaces ⋮ Triangular \(A\)-statistical approximation by double sequences of positive linear operators ⋮ Korovkin-type theorems for weakly nonlinear and monotone operators ⋮ A Korovkin theorem for abstract Lebesgue spaces ⋮ Rigidity properties of nonexpansive mappings ⋮ Korovkin-type theorems for modular \(\Psi\)-\(A\)-statistical convergence ⋮ Korovkin sets in locally convex function spaces ⋮ Contractive Korovkin approximations ⋮ Geometric theory of Korovkin sets ⋮ Another look at the Korovkin theorems ⋮ Korovkin shadows and Korovkin systems in C(S)-spaces ⋮ Fixräume regulärer Operatoren und ein Korovkin-Satz ⋮ Chebyshev Subspaces and Convergence of Positive Linear Operators ⋮ Relative uniform convergence of a sequence of functions at a point and Korovkin-type approximation theorems ⋮ A geometrical property of C(K) spaces ⋮ Continuous selections for metric projections ⋮ On the classification of the Banach spaces whose duals are \(L_1\) spaces ⋮ Korovkin closures for positive linear operators ⋮ Darstellung von Banach-Verbänden und Sätze vom Korovkin-Typ ⋮ The linearity coefficient of metric projections onto a Chebyshev subspace ⋮ The extension and convergence of positive operators ⋮ On the convergence of nonexpansive operators in a space of continuous abstract functions ⋮ Ein allgemeiner Korovkin-Satz für lokalkonvexe Vektorverbände ⋮ Theorems of Korovkin type for adapted spaces ⋮ Sequences of contractions on L\(^1\)-spaces ⋮ Sequential type Korovkin theorem on 𝐿^{∞} for QC-test functions ⋮ A Korovkin Type Theorem on Weak Convergence ⋮ Set-valued extension of operators via Steiner selections. II: Applications to approximation.

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