Finding better weight functions for generalized Shepard's operator on infinite intervals

DOI10.1080/00207160.2011.559542zbMath1242.41003OpenAlexW2100805015MaRDI QIDQ2885514

Biancamaria Della Vecchia, István Szalkai

Publication date: 23 May 2012

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2011.559542

zbMATH Keywords

interpolationapproximationgeneralized Shepard method

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Interpolation in approximation theory (41A05) Approximation by positive operators (41A36)

Related Items (2)

On Shepard-Gupta-type operators ⋮ Inequalities for Shepard-type operators

Cites Work

• The saturation class of Shepard operators
• Balázs-Shepard operators on infinite intervals. II
• Handling multicomponent systems in \(\mathbb{R}^n\). I: Theoretical results
• On the approximation of bounded functions with discontinuities of the first kind by generalized Shepard operators
• Spline functions in chemistry: approximation of surfaces over triangle domains

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