The Jackson theorem inL 2 for Christenson-Levy systems

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

On the Jackson theorem for periodic functions in metric spaces with integral metric. II

2012 ◽  
Vol 63 (11) ◽  
pp. 1733-1744 ◽  
Author(s):  
S. A. Pichugov
Keyword(s):  
Metric Spaces ◽  
Periodic Functions ◽  
Jackson Theorem

scholarly journals The Müntz-Jackson theorem in L2

1973 ◽  
Vol 9 (1) ◽  
pp. 91-95 ◽  
Author(s):  
D.J Newman
Keyword(s):  
Jackson Theorem

On the jackson theorem for periodic functions in spaces with integral metric

2000 ◽  
Vol 52 (1) ◽  
pp. 133-147 ◽  
Author(s):  
S. A. Pichugov
Keyword(s):  
Periodic Functions ◽  
Jackson Theorem

The multidimensional Jackson theorem in Lp

1992 ◽  
Vol 52 (1) ◽  
pp. 709-716 ◽  
Author(s):  
N. N. Pustovoitov
Keyword(s):  
Jackson Theorem ◽  
Multidimensional Jackson Theorem

On Constants in the Generalized Jackson Theorem

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

scholarly journals Approximation by algebraic polynomials in metric spaces $L_{\psi}$

2013 ◽  
Vol 21 ◽  
pp. 3
Author(s):  
T.A. Agoshkova
Keyword(s):  
Modulus Of Continuity ◽  
Metric Spaces ◽  
Jackson Inequality ◽  
Algebraic Polynomials ◽  
Periodic Functions ◽  
Jackson Theorem ◽  
Approximation By Algebraic Polynomials

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.

The multidimensional Jackson theorem

1976 ◽  
Vol 20 (3) ◽  
pp. 801-804 ◽  
Author(s):  
V. A. Yudin
Keyword(s):  
Jackson Theorem ◽  
Multidimensional Jackson Theorem

Jackson Theorem in the space L 2 on the interval [−1, 1] with power-law weight

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

scholarly journals Jackson theorem in Lp,0<p<1, for functions on the sphere

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