Shepard operators of Birkhoff-type

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

Solving Poisson equation with Dirichlet conditions through multinode Shepard operators

2021 ◽  
Vol 98 ◽  
pp. 254-260
Author(s):  
Francesco Dell'Accio ◽  
Filomena Di Tommaso ◽  
Otheman Nouisser ◽  
Najoua Siar
Keyword(s):  
Poisson Equation ◽  
Dirichlet Conditions ◽  
Shepard Operators

THE EQUIVALENCE OF SHEPARD OPERATORS IN Lp FOR ρ ≥ 1

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

scholarly journals Balázs–Shepard Operators on Infinite Intervals, II

1997 ◽  
Vol 90 (1) ◽  
pp. 1-8 ◽  
Author(s):  
G Mastroianni ◽  
J Szabados
Keyword(s):  
Infinite Intervals ◽  
Shepard Operators

Fast and accurate scattered Hermite interpolation by triangular Shepard operators

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

scholarly journals Complex Shepard Operators and Their Summability

2021 ◽  
Vol 76 (4) ◽  
Author(s):  
Oktay Duman ◽  
Biancamaria Della Vecchia
Keyword(s):  
Imaginary Part ◽  
Complex Function ◽  
The Real ◽  
Unit Square ◽  
Approximation Theorems ◽  
Summability Methods ◽  
Contour Lines ◽  
Complex Valued ◽  
Regular Summability ◽  
Shepard Operators

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.

Sign in / Sign up

Export Citation Format

Share Document