Abstract
Inequalities are obtained between spline functions of a specified degree belonging also to some function space, and corresponding numerical sequences belonging to a sequence space, which lead to isomorphisms between the spaces. Among the possible applications of these correspondences and isomorphisms are the solution of a wide class of interpolation problems in approximation theory.
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© 1983 Springer Basel AG
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Jakimovski, A., Russell, D.C. (1983). On Classes of Spline Functions, and Interpolation by Functions with Derivatives in Pre-Assigned Spaces. In: Beckenbach, E.F., Walter, W. (eds) General Inequalities 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 64. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6290-5_31
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DOI: https://doi.org/10.1007/978-3-0348-6290-5_31
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