Continuity of operators of generalized rational approximation in the space \(L_1[0;1]\)

DOI10.1023/A:1022142605351zbMath1024.41012MaRDI QIDQ1810287

K. S. Ryutin

Publication date: 15 June 2003

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

zbMATH Keywords

rational approximationmultiplicative mappinggeneralized rational approximation\(\varepsilon\)-selectiongeneralized fraction

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Approximation by other special function classes (41A30)

Related Items (12)

Continuous \(\epsilon\)-selection and monotone path-connected sets ⋮ Continuous selections in asymmetric spaces ⋮ Continuous selection from the sets of best and near-best approximation ⋮ Continuous selections for metric projection operators and for their generalizations ⋮ Continuous selection for set-valued mappings ⋮ Weakly monotone sets and continuous selection from a near-best approximation operator ⋮ Existence, uniqueness, and stability of best and near-best approximations ⋮ Some applications of geometric theory of approximations ⋮ Approximative properties of sets and continuous selections ⋮ New criteria for the existence of a continuous \(\epsilon\)-selection ⋮ Local approximation properties of sets and continuous selections on them ⋮ Weakly monotone sets and continuous selection in asymmetric spaces

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