INDEX
adaptive, 18
alternating algorithm, 75
alternation, 4-5, 71-72
analytic
continuation, 44
function, 17, 22, 35, 89
approximation,
adaptive, 17-18
best, 2, 67
L2, 22, 24
complex, 21
good,10
linear, 55
near-best, 22
nonlinear, 16, 72
polynomial, see polynomial
rational, see rational
attenuation factors, 88
Bernstein, 10, 12, 16, 34, 56, 111, 115
Bezier representation
of a pp function, 103
Bezout's theorem, 92
bivariate, 76-78
Blaschke product, 31
blending methods, 76
box spline, 100, 116-125
B-spline, 87, 92, 100, 103
calculation of b.a., 8
Caratheodory-Fejer Theorem, 32
capacity, 29
CF approximation, 32
characterization
of b.a., 5, 30
Chebyshev
expansion or series, 28
polynomials, 9, 11, 28, 31, 57
space, 6
system, 6, 85-86, 89
Chebyshev's Theorem, 4
Christoffel numbers, 42
circularity (of the error), 31-32
computer-aided design, 116
continued fraction, 38
control polygon, 123
convexity
strict, 3
convolution, 13
degree of approximation, 12, 23, 34,
43-44, 121
differential correction (algorithm), 72
Diliberto-Straus (algorithm), 74
dist, 2, 67-68
divided difference, 82
duality, 57, 68, 92
eigenvalues, 32, 59, 96-97
electrostatics, 29
entire (functions), 23, 40
equi-oscillation (criterion), 71-72
exchange method, 70
existence, 2, 43
exponentials, 6
Faber
polynomials, 26
series, 26-28
Favard, 12
Fejer, 32
Fekete points, 29
finite element, 117
Fourier
series, 8, 88
transform, 119
discrete, 88
fast, 85
129
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