On the order of an approximation of functions on sets of positive measure by linear positive polynomial operators

1973 ◽  
Vol 13 (3) ◽  
pp. 274-280
Author(s):  
R. K. Vasil'ev
Keyword(s):  
Positive Measure ◽  
Approximation Of Functions ◽  
Positive Polynomial ◽  
Polynomial Operators

A Perron-Frobenius theorem for positive polynomial operators in Banach lattices

Positivity ◽  
2009 ◽  
Vol 13 (4) ◽  
pp. 709-716 ◽  
Author(s):  
Bui The Anh ◽  
Nguyen Khoa Son ◽  
Duong Dang Xuan Thanh
Keyword(s):  
Banach Lattices ◽  
Frobenius Theorem ◽  
Positive Polynomial ◽  
Polynomial Operators

Approximation of Functions by Some Types of Szasz-mirakjan Operators

2012 ◽  
Vol 15 (3) ◽  
pp. 173-179
Author(s):  
Sahib Al-Saidy ◽  
◽  
Salim Dawood ◽  
Keyword(s):  
Approximation Of Functions

scholarly journals Trigonometric approximation of functions $f(x,y)$ of generalized Lipschitz class by double Hausdorff matrix summability method

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Abhishek Mishra ◽  
Vishnu Narayan Mishra ◽  
M. Mursaleen
Keyword(s):  
Double Fourier Series ◽  
Degree Of Approximation ◽  
Trigonometric Approximation ◽  
Lipschitz Class ◽  
Gamma Delta ◽  
Approximation Of Functions ◽  
Matrix Summability ◽  
Alpha Beta ◽  
Generalized Lipschitz Class ◽  
Hausdorff Matrix

AbstractIn this paper, we establish a new estimate for the degree of approximation of functions $f(x,y)$ f ( x , y ) belonging to the generalized Lipschitz class $Lip ((\xi _{1}, \xi _{2} );r )$ L i p ( ( ξ 1 , ξ 2 ) ; r ) , $r \geq 1$ r ≥ 1 , by double Hausdorff matrix summability means of double Fourier series. We also deduce the degree of approximation of functions from $Lip ((\alpha ,\beta );r )$ L i p ( ( α , β ) ; r ) and $Lip(\alpha ,\beta )$ L i p ( α , β ) in the form of corollary. We establish some auxiliary results on trigonometric approximation for almost Euler means and $(C, \gamma , \delta )$ ( C , γ , δ ) means.

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