On a Jackson-Type Inequality in the Approximation of a Function by Linear Summation Methods in the Space L2

2003 ◽  
Vol 55 (4) ◽  
pp. 648-659
Author(s):  
L. N. Bozhukha
Keyword(s):  
Type Inequality ◽  
Jackson Type ◽  
Linear Summation ◽  
Summation Methods ◽  
The Space L2 ◽  
Approximation Of A Function

scholarly journals Multivariate Jackson-type inequality for a new type neural network approximation

2014 ◽  
Vol 38 (24) ◽  
pp. 6031-6037 ◽  
Author(s):  
Shaobo Lin ◽  
Yuanhua Rong ◽  
Zongben Xu
Keyword(s):  
Neural Network ◽  
Type Inequality ◽  
Jackson Type ◽  
New Type

On linear summation methods of Fourier series

1979 ◽  
Vol 5 (2) ◽  
pp. 119-133 ◽  
Author(s):  
Я. С. Бугров
Keyword(s):  
Fourier Series ◽  
Linear Summation ◽  
Summation Methods

Jackson-type inequality on the sphere

2004 ◽  
Vol 102 (1/2) ◽  
pp. 1-36 ◽  
Author(s):  
Zeev Ditzian
Keyword(s):  
Type Inequality ◽  
Jackson Type

scholarly journals Optimal order Jackson type inequality for scaled Shepard approximation

2018 ◽  
Vol 227 ◽  
pp. 37-50 ◽  
Author(s):  
Steven Senger ◽  
Xingping Sun ◽  
Zongmin Wu
Keyword(s):  
Type Inequality ◽  
Optimal Order ◽  
Jackson Type

On the Jackson-Type Inequality for the Best Sp-Approximations of Functions by Trigonometric Polynomials

2017 ◽  
Vol 8 ◽  
pp. 27-35
Author(s):  
Alexander N. Shchitov
Keyword(s):  
Best Approximation ◽  
Type Inequality ◽  
Trigonometric Polynomials ◽  
Sharp Constant ◽  
Jackson Type ◽  
Moduli Of Continuity ◽  
Approximation Of Functions ◽  
The Best Approximation

We find the sharp constant in the Jackson-type inequality between the value of the best approximation of functions by trigonometric polynomials and moduli of continuity of m-th order in the spaces Sp, 1 ≤ p < ∞. In the particular case we obtain one result which in a certain sense generalizes the result obtained by L.V. Taykov for m = 1 in the space L2 for the arbitrary moduli of continuity of m-th order (m Є N).

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