Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/8233
Title: Complex Shepard Operators and Their Summability
Authors: Duman, Oktay
Della Vecchia, Biancamaria
Keywords: Approximation in the complex plain
Shepard operators
matrix summabiliy methods
Cesaro summability
Approximation
Convergence
Interpolation
Issue Date: 2021
Publisher: Springer Basel Ag
Abstract: In 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.
URI: https://doi.org/10.1007/s00025-021-01520-4
https://hdl.handle.net/20.500.11851/8233
ISSN: 1422-6383
1420-9012
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Show full item record

CORE Recommender

WEB OF SCIENCETM
Citations

1
checked on Jul 14, 2022

Page view(s)

4
checked on Aug 8, 2022

Google ScholarTM

Check

Altmetric


Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.