On Cardinal Monosplines of Least L sub infinity -Norm on the Real Axis

One determines the cardinal spline function S(x) of degree m-1 and continuity class C sup r (R), r prescribed with -1 < or = r < or = m-2, such that it minimizes the L sub infinity-norm on R //x sup m - S(x)//sub infinity. (Author)

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Bibliographic Details
Main Authors: Schoenberg,I. J, Ziegler,Zvi
Format: Report
Language:English
Subjects:
APPROXIMATION(MATHEMATICS)
CHEBYCHEV FUNCTIONS
CONVERGENCE
FUNCTIONS(MATHEMATICS)
MATRICES(MATHEMATICS)
POLYNOMIALS
SEQUENCES(MATHEMATICS)
SET THEORY
SPLINE APPROXIMATION
SPLINE FUNCTIONS
THEOREMS
Theoretical Mathematics
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Summary:One determines the cardinal spline function S(x) of degree m-1 and continuity class C sup r (R), r prescribed with -1 < or = r < or = m-2, such that it minimizes the L sub infinity-norm on R //x sup m - S(x)//sub infinity. (Author)