scholarly journals Polynomials with positive coefficients: Uniqueness of best approximation

1977 ◽  
Vol 21 (4) ◽  
pp. 352-355 ◽  
Author(s):  
Eli Passow
Keyword(s):  
Best Approximation ◽  
Positive Coefficients ◽  
Uniqueness Of Best Approximation

scholarly journals Proximinality and co-proximinality in metric linear spaces

2015 ◽  
Vol 69 (1) ◽  
pp. 83
Author(s):  
T. W. Narang ◽  
Sahil Gupta
Keyword(s):  
Best Approximation ◽  
Existence And Uniqueness ◽  
Linear Spaces ◽  
Normed Linear Spaces ◽  
Best Coapproximation ◽  
Uniqueness Of Best Approximation

As a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces.

scholarly journals Proximinality and co-proximinality in metric linear spaces

2015 ◽  
Vol 69 (1) ◽  
Author(s):  
T.D. Narang ◽  
Sahil Gupta
Keyword(s):  
Best Approximation ◽  
Existence And Uniqueness ◽  
Linear Spaces ◽  
Normed Linear Spaces ◽  
Best Coapproximation ◽  
Uniqueness Of Best Approximation

AbstractAs a counterpart to best approximation, the concept of best coapproximation was introduced in normed linear spaces by C. Franchetti and M. Furi in 1972. Subsequently, this study was taken up by many researchers. In this paper, we discuss some results on the existence and uniqueness of best approximation and best coapproximation when the underlying spaces are metric linear spaces

A new method for approximation of closed convex subsets of B(H)

Filomat ◽  
2017 ◽  
Vol 31 (19) ◽  
pp. 6005-6013
Author(s):  
Mahdi Iranmanesh ◽  
Fatemeh Soleimany
Keyword(s):  
Best Approximation ◽  
Numerical Range ◽  
New Method ◽  
C Algebra ◽  
Convex Subsets

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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