Approximation by multivariate higher degree \(F\)-transform based on B-splines
type: Item
instance of: scholarly article
title: Approximation by multivariate higher degree \(F\)-transform based on B-splines
zbMATH Open document ID: 1384.65093
author: Martins Kokainis
author: Svetlana V. Asmuss
published in: Soft Computing
publication date: 2018-02-27T00:00:00Z
review text: A fuzzy transform with multivariate polynomial components of total degree \(m\) is a multivariate \(F^m\)-transform. This paper deals with the approximation by integral and discrete versions of multivariate \(F^m\)-transforms. The authors generalize results for univariate \(F^m\)-transforms to the multivariate case. Using multivariate B-splines as generating functions of multidimensional fuzzy partition, the authors improve the approximation of multivariate functions and their derivatives.
reviewed by: Manfred Tasche
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 41A35
Mathematics Subject Classification ID: 41A63
Mathematics Subject Classification ID: 65D07
Mathematics Subject Classification ID: 26E50
Mathematics Subject Classification ID: 44A99
zbMATH DE Number: 6844140
zbMATH Keywords: multivariate fuzzy transform
zbMATH Keywords: multidimensional fuzzy partition of B-splines
zbMATH Keywords: approximation error
describes a project that uses: OPQ
MaRDI profile type: Publication
full work available at URL: s00500-017-2654-z
OpenAlex ID: W2620698964
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DOI: 10.1007/S00500-017-2654-Z
description: scientific article; zbMATH DE number 6844140