# The Numerical Determination of Projection Constants

@inproceedings{Cheney1975TheND, title={The Numerical Determination of Projection Constants}, author={Elliott Ward Cheney and Pd Morris}, year={1975} }

- Published 1975
DOI:10.1007/978-3-0348-5961-5_2

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.