Approximation from the topological viewpoint

DOI10.1016/0021-9045(90)90100-5zbMath0718.41047OpenAlexW2046200384MaRDI QIDQ2639282

Yaki Sternfeld

Publication date: 1990

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(90)90100-5

zbMATH Keywords

Hilbert's 13th problemStone-Weierstraß theorem

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Multidimensional problems (41A63) Approximation by polynomials (41A10) Approximation by other special function classes (41A30)

Cites Work

• Dense subgroups of C(K)-Stone-Weierstrass-type theorems for groups
• The Kolmogorov-Słupecki theorem for a three-dimensional sphere
• On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition
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