The best approximation of some rational functions in uniform norm

2005 ◽  
Vol 55 (2) ◽  
pp. 204-214 ◽  
Author(s):  
Sadegh Jokar ◽  
Bahman Mehri
Keyword(s):  
Best Approximation ◽  
Rational Functions ◽  
Uniform Norm ◽  
The Best Approximation

On monotone rational approximation: A new approach, II

2008 ◽  
Vol 45 (4) ◽  
pp. 549-555
Author(s):  
Songping Zhou ◽  
Tingfan Xie
Keyword(s):  
Rational Approximation ◽  
Best Approximation ◽  
Rational Functions ◽  
New Techniques ◽  
New Approach ◽  
The Best Approximation ◽  
Increasing Function

In the present paper, we investigate monotone rational approximation. We prove that if f ∊ C[0, 1] is an increasing function on the interval [0, 1] then Rn* ( f ) ≦ C log 2 µ/ n ‖ f ‖, where Rn* ( f ) is the best approximation of f by incrasing rational functions of order ( n, n ), µ > 1 matches n in the equation n = log 2 µ/ ω ( f ,µ − . With some new techniques created, this result essentially generalizes and improves previous result appeared in Zhou [10].

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.

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