Approximative Properties of Diagonal Operators in Orlicz Spaces

DOI10.1080/01630563.2015.1066387zbMath1341.47018arXiv1405.1542OpenAlexW1918400322MaRDI QIDQ2795091

Stanislav O. Chaichenko, Andrii Shidlich

Publication date: 18 March 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.1542

zbMATH Keywords

Orlicz sequence spacesKolmogorov widthdiagonal operatorbest \(n\)-term approximation

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operator approximation theory (47A58) Banach sequence spaces (46B45) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (3)

Direct and inverse theorems of approximation of functions in weighted Orlicz type spaces with variable exponent ⋮ Best \(n\)-term approximation of diagonal operators and application to function spaces with mixed smoothness ⋮ Approximative characteristics of modular Orlicz spaces

Cites Work

• Exact value of the \(n\)-term approximation of a diagonal operator
• On Orlicz sequence spaces
• On some seminormed sequence spaces defined by Orlicz function
• Best n-Term Approximations with Restrictions
• Problems of approximation theory in linear spaces
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