Entropy and the approximation of bounded functions and operators

DOI10.1007/BF01270612zbMath0865.41024MaRDI QIDQ1816490

Christian Richter, Irmtraud Stephani

Publication date: 15 December 1996

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

modulus of continuitypartitions of unityJackson type inequalityentropy numberGelfand numberstep functionsapproximation of operators

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Approximation by other special function classes (41A30) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (3)

Chains of controllable partitions of the \(m\)-dimensional cube ⋮ Some remarks on entropy numbers of sets with non-integer dimension ⋮ Entropy numbers of convex hulls in Banach spaces and applications

Cites Work

• Unnamed Item
• Separable Banach spaces which admit \(I^ \infty_ n\) approximations
• Peaked partition subspaces of \(C(X)\)
• Entropy, Approximation Quantities and the Asymptotics of the Modulus of Continuity

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