A geometrical approach to property (SAIN)

DOI10.1016/0021-9045(73)90060-9zbMath0251.41012OpenAlexW2033614475MaRDI QIDQ2557009

Joseph M. Lambert, Richard B. Holmes

Publication date: 1973

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

Full work available at URL: https://doi.org/10.1016/0021-9045(73)90060-9

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)

Related Items (4)

Jackson type theorems for approximation with side conditions ⋮ SAIN approximation in \(C[a,b\)] ⋮ The Dual of a Theorem of Bishop and Phelps ⋮ Simultaneous Spline Approximation and Interpolation Preserving Norms

Cites Work

• Metric projections onto subspaces of finite codimension
• On simultaneous approximation and interpolation which preserves the norm
• Continuity of the set-valued metric projection
• Simultaneous approximation and interpolation with norm preservation
• Multi-Valued Monotone Nonlinear Mappings and Duality Mappings in Banach Spaces
• The Geometry of Banach Spaces. Smoothness
• Inner products in normed linear spaces

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