Best One-Sided Approximation for the Class of Differentiable Functions by Algebraic Polynomials in the Mean

2017 ◽  
Vol 69 (2) ◽  
pp. 255-268
Author(s):  
V. V. Sedunova
Keyword(s):  
Algebraic Polynomials ◽  
Differentiable Functions ◽  
The Mean

scholarly journals Sharp inequalities of Jackson type in weighted space $L_{2;\rho}({\mathbb{R}}^2)$

2014 ◽  
Vol 22 ◽  
pp. 17
Author(s):  
S.B. Vakarchuk ◽  
M.B. Vakarchuk
Keyword(s):  
Best Approximation ◽  
Weighted Space ◽  
Jackson Type ◽  
Algebraic Polynomials ◽  
The Best Approximation ◽  
Differentiable Functions ◽  
Functions Of Two Variables

Sharp inequalities of Jackson type, connected with the best approximation by "angles" of algebraic polynomials have been obtained on the classes of differentiable functions of two variables in the metric of space $L_{2;\rho}({\mathbb{R}}^2)$ of the Chebyshev-Hermite weight.

One-sided approximation of a step by algebraic polynomials in the mean

2010 ◽  
Vol 62 (3) ◽  
pp. 467-482 ◽  
Author(s):  
V. P. Motornyi ◽  
O. V. Motornaya ◽  
P. K. Nitiema
Keyword(s):  
Algebraic Polynomials ◽  
The Mean
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