Best approximation and de la Vallée-Poussin sums

1978 ◽  
Vol 23 (5) ◽  
pp. 369-376
Author(s):  
W. Dahmen
Keyword(s):  
Best Approximation ◽  
De La Vallée Poussin

scholarly journals Near-best approximation by a de la Vallée Poussin-type interpolatory operator

2012 ◽  
Vol 49 (1) ◽  
pp. 1-18 ◽  
Author(s):  
Ágota Horváth
Keyword(s):  
Best Approximation ◽  
Weighted Space ◽  
Interpolatory Process ◽  
De La Vallée Poussin

We give a very simply computable interpolatory process, which approximates in near-best order on [−1; 1] in some Jacobi-weighted space.

scholarly journals Derivatives of a polynomial of best approximation and modulus of smoothness in generalized Lebesgue spaces with variable exponent

2017 ◽  
Vol 50 (1) ◽  
pp. 245-251 ◽  
Author(s):  
Sadulla Z. Jafarov
Keyword(s):  
Best Approximation ◽  
Variable Exponent ◽  
Modulus Of Smoothness ◽  
Lebesgue Spaces ◽  
The Best Approximation ◽  
Polynomial Of Best Approximation ◽  
The Relationship ◽  
Derivatives Of ◽  
De La Vallée Poussin

Abstract The relation between derivatives of a polynomial of best approximation and the best approximation of the function is investigated in generalized Lebesgue spaces with variable exponent. In addition, the relationship between the fractional modulus of smoothness of the function and its de la Vallée-Poussin sums is studied.

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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