scholarly journals Smoothing of weights in the Bernstein approximation problem

2017 ◽  
Vol 146 (2) ◽  
pp. 653-667
Author(s):  
Andrew Bakan ◽  
Jürgen Prestin
Keyword(s):  
Approximation Problem ◽  
Bernstein Approximation

scholarly journals On Bernstein approximation problem

1969 ◽  
Vol 25 (2) ◽  
pp. 450-469 ◽  
Author(s):  
P.K Geetha
Keyword(s):  
Approximation Problem ◽  
Bernstein Approximation

scholarly journals De Branges’ theorem on approximation problems of Bernstein type

2013 ◽  
Vol 12 (4) ◽  
pp. 879-899 ◽  
Author(s):  
Anton Baranov ◽  
Harald Woracek
Keyword(s):  
Analogous Result ◽  
Entire Functions ◽  
Approximation Problem ◽  
Bernstein Type ◽  
Original Proof ◽  
The Real ◽  
Functions Of Exponential Type ◽  
Bernstein Approximation ◽  
Approximation Problems ◽  
Norm Approximation

AbstractThe Bernstein approximation problem is to determine whether or not the space of all polynomials is dense in a given weighted ${C}_{0} $-space on the real line. A theorem of de Branges characterizes non-density by existence of an entire function of Krein class being related with the weight in a certain way. An analogous result holds true for weighted sup-norm approximation by entire functions of exponential type at most $\tau $ and bounded on the real axis ($\tau \gt 0$ fixed).We consider approximation in weighted ${C}_{0} $-spaces by functions belonging to a prescribed subspace of entire functions which is solely assumed to be invariant under division of zeros and passing from $F(z)$ to $ \overline{F( \overline{z} )} $, and establish the precise analogue of de Branges’ theorem. For the proof we follow the lines of de Branges’ original proof, and employ some results of Pitt.

scholarly journals The Bernstein approximation problem

1955 ◽  
Vol 6 (3) ◽  
pp. 402-402 ◽  
Author(s):  
Harry Pollard
Keyword(s):  
Approximation Problem ◽  
Bernstein Approximation

scholarly journals Krein's entire functions and the Bernstein approximation problem

2001 ◽  
Vol 45 (1) ◽  
pp. 167-185 ◽  
Author(s):  
Alexander Borichev ◽  
Mikhail Sodin
Keyword(s):  
Entire Functions ◽  
Approximation Problem ◽  
Bernstein Approximation

New solution for the ideal filter approximation problem

1983 ◽  
Vol 130 (4) ◽  
pp. 161
Author(s):  
vančo B. Litovski ◽  
Dragiša P. Milovanovi
Keyword(s):  
Approximation Problem ◽  
Filter Approximation ◽  
Ideal Filter ◽  
The Ideal

Approximation problem during calculation of pneumatic brake drive by integral method

2020 ◽  
pp. 33-38
Author(s):  
M. P. Malinovsky ◽  
◽  
E. S. Smolko ◽  
Keyword(s):  
Integral Method ◽  
Approximation Problem

scholarly journals The core inverse and constrained matrix approximation problem

2020 ◽  
Vol 18 (1) ◽  
pp. 653-661 ◽  
Author(s):  
Hongxing Wang ◽  
Xiaoyan Zhang
Keyword(s):  
Unique Solution ◽  
Approximation Problem ◽  
Frobenius Norm ◽  
Matrix Approximation ◽  
The Core ◽  
Core Inverse

Abstract In this article, we study the constrained matrix approximation problem in the Frobenius norm by using the core inverse: ||Mx-b|{|}_{F}=\hspace{.25em}\min \hspace{1em}\text{subject}\hspace{.25em}\text{to}\hspace{1em}x\in {\mathcal R} (M), where M\in {{\mathbb{C}}}_{n}^{\text{CM}} . We get the unique solution to the problem, provide two Cramer’s rules for the unique solution and establish two new expressions for the core inverse.

scholarly journals An explicit solution of an L1 approximation problem

1985 ◽  
Vol 44 (2) ◽  
pp. 194-195
Author(s):  
D Kershaw
Keyword(s):  
Explicit Solution ◽  
Approximation Problem ◽  
L1 Approximation
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