A survey of published programs for best approximation

In this paper we use the concept of numerical range to characterize best approximation points in closed convex subsets of B(H): Finally by using this method we give also a useful characterization of best approximation in closed convex subsets of a C*-algebra A.

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Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol’skii–Besov spaces

Journal of Mathematical Sciences ◽

10.1007/s10958-020-05177-2 ◽

2021 ◽

Vol 252 (4) ◽

pp. 508-525

Author(s):

Anatolii Sergiiovych Romanyuk ◽

Viktor Sergiiovych Romanyuk

Keyword(s):

Besov Spaces ◽

Best Approximation ◽

The Best Approximation

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Lagrange Multiplier Characterizations of Constrained Best Approximation with Infinite Constraints

Journal of Optimization Theory and Applications ◽

10.1007/s10957-021-01856-5 ◽

2021 ◽

Author(s):

Hassan Bakhtiari ◽

Hossein Mohebi

Keyword(s):

Lagrange Multiplier ◽

Best Approximation ◽

Constrained Best Approximation

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Ambulatory blood pressure data is the best approximation of central aortic pressure in coarctation of aorta

International Journal of Cardiology Congenital Heart Disease ◽

10.1016/j.ijcchd.2021.100142 ◽

2021 ◽

Vol 4 ◽

pp. 100142

Author(s):

Alexander C. Egbe ◽

William R. Miranda ◽

Heidi M. Connolly ◽

Iftikhar J. Kullo

Keyword(s):

Blood Pressure ◽

Ambulatory Blood Pressure ◽

Best Approximation ◽

Aortic Pressure ◽

Coarctation Of Aorta ◽

Pressure Data ◽

Central Aortic Pressure ◽

The Best Approximation ◽

Blood Pressure Data

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Best Approximation in Reproducing Kernel Hilbert Spaces

Proceedings of the Second International Colloquium on Numerical Analysis ◽

10.1515/9783112318805-007 ◽

1994 ◽

pp. 55-62 ◽

Cited By ~ 11

Keyword(s):

Hilbert Spaces ◽

Best Approximation ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Spaces ◽

Kernel Hilbert Spaces

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Polynomials with positive coefficients: Uniqueness of best approximation

Journal of Approximation Theory ◽

10.1016/0021-9045(77)90005-3 ◽

1977 ◽

Vol 21 (4) ◽

pp. 352-355 ◽

Cited By ~ 4

Author(s):

Eli Passow

Keyword(s):

Best Approximation ◽

Positive Coefficients ◽

Uniqueness Of Best Approximation

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Degree of best approximation by trigonometric blending functions

Mathematische Zeitschrift ◽

10.1007/bf01246949 ◽

1985 ◽

Vol 189 (1) ◽

pp. 143-150 ◽

Cited By ~ 13

Author(s):

Werner Hau�mann ◽

Kurt Jetter ◽

Bernd Steinhaus

Keyword(s):

Best Approximation ◽

Blending Functions

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Best approximation to 1 − xm by special rational functions

Journal of Approximation Theory ◽

10.1016/0021-9045(87)90107-9 ◽

1987 ◽

Vol 49 (3) ◽

pp. 300-301

Author(s):

A.R Reddy

Keyword(s):

Best Approximation ◽

Rational Functions

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Intracranial volume-pressure relationship in man

Journal of Neurosurgery ◽

10.3171/jns.1982.56.4.0524 ◽

1982 ◽

Vol 56 (4) ◽

pp. 524-528 ◽

Cited By ~ 24

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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