On simultaneous approximation and interpolation which preserves the norm

DOI10.1016/0021-9045(69)90004-5zbMath0186.18702OpenAlexW1980058269MaRDI QIDQ2536731

Frank Deutsch, Peter D. Morris

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1016/0021-9045(69)90004-5

zbMATH Keywords

functional analysis

Related Items (12)

Interpolation and approximation from convex sets ⋮ Characterizing local best SAIN approximations ⋮ Jackson type theorems for approximation with side conditions ⋮ Some properties of the set of functionals which attain their supremum on the unit sphere ⋮ One-sided approximation with side conditions ⋮ SAIN approximation in \(C[a,b\)] ⋮ Jackson-type theorems for approximation with Hermite-Birkhoff interpolatory side conditions ⋮ The Dual of a Theorem of Bishop and Phelps ⋮ Simultaneous approximation and interpolation with norm preservation ⋮ A geometrical approach to property (SAIN) ⋮ Simultaneous Spline Approximation and Interpolation Preserving Norms ⋮ The simultaneous interpolation and one-sided approximation in the mean of continuous functions

Cites Work

• Characterizations of reflexivity
• Simultaneous Interpolation and Approximation in Topological Linear Spaces
• Piecewise monotone polynomial interpolation
• Sur un polynôme d'interpolation
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