Interpolation on the sphere and bounds for the Lagrangian square sums

DOI10.1007/BF03323265zbMath0608.41002MaRDI QIDQ1086444

Manfred Reimer

Publication date: 1987

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

eigenvalueLebesgue constantsLagrangians

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (5)

Günstige Knoten für die interpolation mit homogenen harmonischen Polynomen. (Favorable nodes for the interpolation by harmonic homogeneous polynomials) ⋮ Constructive polynomial approximation on the sphere ⋮ Numerische Berechnung extremaler Fundamentalsysteme für Polynomräume über der Vollkugel. (Calculation of extremal fundamental systems for polynomial spaces over the unit ball) ⋮ Die Wirkung der Radon-Transformation auf Polynomräume. (The effect of the Radon-transform to polynomial spaces) ⋮ A Remez-type algorithm for calculation of extremal fundamental systems for polynomial spaces on the sphere

Cites Work

• On a minimal property of trigonometric interpolation at equidistant nodes
• On a minimal property of cubic periodic Lagrangian splines
• Uniform convergence of spherical harmonic expansions
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