On a new class of positive definite RBFs by using Fourier cosine transform
type: Item
instance of: scholarly article
title: On a new class of positive definite RBFs by using Fourier cosine transform
zbMATH Open document ID: 1540.65058
author: Maryam Mohammadi
author: Mohammad Heidari
author: Stefano De Marchi
published in: Dolomites Research Notes on Approximation
publication date: 2024-06-17T00:00:00Z
Mathematics Subject Classification ID: 65D12
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 42A38
zbMATH DE Number: 7866482
zbMATH Keywords: radial basis functions
zbMATH Keywords: positive definite
zbMATH Keywords: Fourier cosine transform
MaRDI profile type: Publication
cites work: Interpolation by basis functions of different scales and shapes
cites work: Multiply monotone functions for radial basis function interpolation: extensions and new kernels
cites work: Radial Basis Functions
cites work: Multiply monotone functions for cardinal interpolation
cites work: The parameter \(R^ 2\) in multiquadric interpolation
cites work: Q3446085
cites work: Stable evaluation of Gaussian radial basis function interpolants
cites work: On choosing ``optimal'' shape parameters for RBF approximation
cites work: Exact polynomial reproduction for oscillatory radial basis functions on infinite lattices
cites work: A shape preserving quasi-interpolation operator based on a new transcendental RBF
cites work: CURVATURE BASED CHARACTERIZATION OF RADIAL BASIS FUNCTIONS: APPLICATION TO INTERPOLATION
cites work: Error estimate, optimal shape factor, and high precision computation of multiquadric collocation method
cites work: Interpolation of scattered data: distance matrices and conditionally positive definite functions
cites work: Completely monotonic functions
cites work: A Meshless Method for Solving the 2D BrusselatorReaction-Diffusion System
cites work: Full-rank orthonormal bases for conditionally positive definite kernel-based spaces
cites work: Q4777828
cites work: Q4772680
cites work: Q3488629
cites work: An algorithm for selecting a good value for the parameter \(c\) in radial basis function interpolation
cites work: Radial basis functions method for solving the fractional diffusion equations
cites work: On the fractional derivatives of radial basis functions: Theories and applications
cites work: A random variable shape parameter strategy for radial basis function approximation methods
cites work: Metric Spaces and Positive Definite Functions
cites work: Q6097274
cites work: Q4728091
cites work: Q3996207
cites work: Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
cites work: Local error estimates for radial basis function interpolation of scattered data
cites work: Compactly supported positive definite radial functions
DOI: 10.14658/PUPJ-DRNA-2024-2-3
description: scientific article; zbMATH DE number 7866482