Max-product Shepard operators based on multivariable Taylor polynomials

DOI10.1016/j.cam.2023.115456OpenAlexW4384156928MaRDI QIDQ6049274

Oktay Duman

Publication date: 17 October 2023

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2023.115456

zbMATH Keywords

Shepard operatorsmax-product operatorspower series methodsmatrix summability methods

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Korovkin-type approximation theorem and power series method
• Enhancing the approximation order of local Shepard operators by Hermite polynomials
• Approximation by pseudo-linear operators
• The bivariate Shepard operator of Bernoulli type
• Summation process of positive linear operators
• Properties of Shepard's surfaces
• On summability and positive linear operators
• Quantitative results on almost convergence of a sequence of positive linear operators
• Estimates of the Shepard interpolatory procedure
• Approximation by positive linear operators in modular spaces by power series method
• Korovkin-type approximation by operators in Riesz spaces via power series method
• Inhomogeneous interval fields based on scaled inverse distance weighting interpolation
• Criteria for statistical convergence with respect to power series methods
• Solving Poisson equation with Dirichlet conditions through multinode Shepard operators
• Approximation via equi-statistical convergence in the sense of power series method
• Approximation by max-product operators of Kantorovich type
• On approximation by max-product Shepard operators
• Approximation by radial Shepard operators on scattered data
• Approximation to integrable functions by modified complex Shepard operators
• Integrating data-to-data correlation into inverse distance weighting
• Convergence in phi-variation and rate of approximation for nonlinear integral operators using summability process
• Approximation by max-min operators: a general theory and its applications
• Complex Shepard operators and their summability
• Korovkin type approximation theorems via power series method
• An efficient trivariate algorithm for tetrahedral Shepard interpolation
• Fast computation of triangular Shepard interpolants
• On the bivariate Shepard-Lidstone operators
• Matrix summability and positive linear operators
• On the approximation order of triangular Shepard interpolation
• Approximation by Max-Product Type Operators
• Korovkin type approximation theorems in weighted spaces via power series method
• Shepard--Bernoulli operators
• Rate of Convergence of Shepard's Global Interpolation Formula
• A generalization of inverse distance weighting and an equivalence relationship to noise-free Gaussian process interpolation via Riesz representation theorem
• General Summability Methods in the Approximation by Bernstein–Chlodovsky Operators
• Approximation by nonlinear integral operators via summability process
• Nonlinearity: Ordinary and Fractional Approximations by Sublinear and Max-Product Operators
• Positive linear operators and summability
• Complete Hermite-Birkhoff interpolation on scattered data by combined Shepard operators
• Regular summability methods in the approximation by max-min operators

This page was built for publication: Max-product Shepard operators based on multivariable Taylor polynomials