Abstract
In approximation theory and applied mathematics the following problem arises frequently: one is presented with a pair of normed linear spaces, Y ⊂ X, and it is required to invent a bounded linear map P: X → Y which will produce “good approximations”. Thus the elements of X are interpreted as entities to be approximated, and the elements of Y are the approximating objects. For a given x ∈ X, Px will be used as an approximation to the element x.
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Cheney, E.W., Morris, P.D. (1975). The Numerical Determination of Projection Constants. In: Collatz, L., Meinardu, G. (eds) Numerische Methoden der Approximationstheorie. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’analyse Numérique, vol 26. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5961-5_2
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DOI: https://doi.org/10.1007/978-3-0348-5961-5_2
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