Zolotarev's first problem — the best approximation by polynomials of degree ≤n − 2 tox n − nσx n−1 in [−1, 1]

1983 ◽  
Vol 26 (1) ◽  
pp. 1-33 ◽  
Author(s):  
B. C. Carlson ◽  
John Todd
Keyword(s):  
Best Approximation ◽  
The Best Approximation ◽  
Approximation By Polynomials

scholarly journals On the best approximation, by polynomials, of some classes of functions

1998 ◽  
Vol 6 ◽  
pp. 92
Author(s):  
O.V. Motornaia
Keyword(s):  
Best Approximation ◽  
Conjugate Functions ◽  
Algebraic Polynomials ◽  
Best Approximations ◽  
The Best Approximation ◽  
Approximation By Polynomials

We obtain asymptotically exact estimates of the best approximations of classes of conjugate functions by algebraic polynomials in the spaces $C$ and $L_1$.

Intracranial volume-pressure relationship in man

1982 ◽  
Vol 56 (4) ◽  
pp. 524-528 ◽  
Author(s):  
Joseph Th. J. Tans ◽  
Dick C. J. Poortvliet
Keyword(s):  
Best Approximation ◽  
Continuous Monitoring ◽  
Fluid Pressure ◽  
Constant Term ◽  
Volume Index ◽  
Intracranial Volume ◽  
Content Type ◽  
The Best Approximation ◽  
Ventricular Fluid Pressure ◽  
Fine Print

✓ The pressure-volume index (PVI) was determined in 40 patients who underwent continuous monitoring of ventricular fluid pressure. The PVI value was calculated using different mathematical models. From the differences between these values, it is concluded that a monoexponential relationship with a constant term provides the best approximation of the PVI.

scholarly journals The best approximation and composition with inner functions.

1995 ◽  
Vol 42 (2) ◽  
pp. 367-378 ◽  
Author(s):  
M. Mateljević ◽  
M. Pavlović
Keyword(s):  
Best Approximation ◽  
Inner Functions ◽  
The Best Approximation

scholarly journals On one approximation of flat curves by broken lines

2021 ◽  
Vol 15 ◽  
pp. 31
Author(s):  
S.V. Babenko ◽  
V.I. Ruban
Keyword(s):  
Best Approximation ◽  
The Best Approximation ◽  
Curve Approximation

We investigate the interrelations between the error of one method of curve approximation and the error of the best approximation.

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