On the modules of continuity of an operator of best approximation

DOI10.1007/BF01152788zbMath0325.41026MaRDI QIDQ1225258

V. I. Berdyshev

Publication date: 1974

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

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Best approximation, Chebyshev systems (41A50) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (2)

Connectedness and other geometric properties of suns and Chebyshev sets ⋮ Criterion for the existence of a 1-Lipschitz selection from the metric projection onto the set of continuous selections from a multivalued mapping

Cites Work

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• Some geometric properties of the spheres in a normed linear space
• Smoothness of approximation
• Convex Sets and Nearest Points
• ON THE CONTINUITY OF METRIC PROJECTION IN BANACH SPACE

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