shepard operators
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2021 ◽  
Vol 76 (4) ◽  
Author(s):  
Oktay Duman ◽  
Biancamaria Della Vecchia

AbstractIn this paper, we construct the complex Shepard operators to approximate continuous and complex-valued functions on the unit square. We also examine the effects of regular summability methods on the approximation by these operators. Some applications verifying our results are provided. To illustrate the approximation theorems graphically we consider the real or imaginary part of the complex function being approximated and also use the contour lines of the modulus of the function.


2021 ◽  
Vol 98 ◽  
pp. 254-260
Author(s):  
Francesco Dell'Accio ◽  
Filomena Di Tommaso ◽  
Otheman Nouisser ◽  
Najoua Siar

2021 ◽  
Vol 382 ◽  
pp. 113092 ◽  
Author(s):  
Francesco Dell’Accio ◽  
Filomena Di Tommaso ◽  
Otheman Nouisser ◽  
Benaissa Zerroudi

Analysis ◽  
2001 ◽  
Vol 21 (3) ◽  
pp. 265-276 ◽  
Author(s):  
W. Xiao ◽  
S. P. Zhou
Keyword(s):  

CALCOLO ◽  
1998 ◽  
Vol 35 (4) ◽  
pp. 197-203 ◽  
Author(s):  
Gheorghe Coman
Keyword(s):  

1997 ◽  
Vol 90 (1) ◽  
pp. 1-8 ◽  
Author(s):  
G Mastroianni ◽  
J Szabados

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