jackson theorem
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2015 ◽  
Vol 205 (2) ◽  
pp. 240-246
Author(s):  
V. V. Zhuk ◽  
V. M. Bure
Keyword(s):  


2013 ◽  
Vol 21 ◽  
pp. 3
Author(s):  
T.A. Agoshkova

In the space $L_{\psi}[-1;1]$ of non-periodic functions with metric $\rho(f,0)_{\psi} = \int\limits_{-1}^1 \psi(|f(x)|)dx$, where $\psi$ is a function of the type of modulus of continuity, we study Jackson inequality for modulus of continuity of $k$-th order in the case of approximation by algebraic polynomials. It is proved that the direct Jackson theorem is true if and only if the lower dilation index of the function $\psi$ is not equal to zero.







2010 ◽  
Vol 162 (2) ◽  
pp. 382-391 ◽  
Author(s):  
F. Dai ◽  
Z. Ditzian
Keyword(s):  


2008 ◽  
Vol 84 (1-2) ◽  
pp. 134-136
Author(s):  
V. I. Ivanov ◽  
D. V. Chertova ◽  
Yongping Liu
Keyword(s):  




1993 ◽  
Vol 53 (4) ◽  
pp. 430-442
Author(s):  
O. I. Smirnov
Keyword(s):  


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