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Uniform continuity of generalized rational approximations

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Publication:1810067
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DOI10.1023/A:1013915432464zbMath1023.41011MaRDI QIDQ1810067

K. S. Ryutin

Publication date: 15 June 2003

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


zbMATH Keywords

generalized rational functions\(\varepsilon\)-selection


Mathematics Subject Classification ID

Approximation by rational functions (41A20) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)


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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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