scholarly journals Approximation of functions of two variables by certain linear positive operators

2007 ◽  
Vol 117 (3) ◽  
pp. 387-399 ◽  
Author(s):  
Fatma Taşdelen ◽  
Ali Olgun ◽  
Gülen Başcanbaz-Tunca
Keyword(s):  
Positive Operators ◽  
Approximation Of Functions ◽  
Linear Positive Operators ◽  
Functions Of Two Variables

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.

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