A method which generates splines in \(H\)-locally convex spaces and connections with vectorial optimization (Q1273042)
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scientific article; zbMATH DE number 1228750
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A method which generates splines in \(H\)-locally convex spaces and connections with vectorial optimization |
scientific article; zbMATH DE number 1228750 |
Statements
A method which generates splines in \(H\)-locally convex spaces and connections with vectorial optimization (English)
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14 June 1999
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The questions of best approximation based on the notion of splines in an \(H\)-locally convex space \(X,\) that is, in a Hausdorff locally convex space with the seminorms satisfying the parallelogram law are studied. The paper represents more expanded presentation of another work of the author ``Best approximation in \(H\)-locally convex spaces'' [Proc. 3rd Int. Conf. of Functional Analysis and Approximation Theory, Acquafredda di Mavatea (Potenza), Italy, Sept. 23-28, 1996, Vols. I and II. Palermo: Circ. Mat. Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 52, 723-733 (1998; Zbl 0914.41018)].
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\(H\)-locally convex space
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spline function
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simultaneous best approximation
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efficient point
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vectorial best approximation
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0.8113873600959778
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