New approach to fractal approximation of vector-functions
type: Item
instance of: scholarly article
title: New approach to fractal approximation of vector-functions
zbMATH Open document ID: 1433.41002
DOI: 10.1155/2015/278313
author: Marsel Davletbaev
author: Gleb Shabernev
author: Konstantin B. Igudesman
published in: Abstract and Applied Analysis
publication date: 2018-08-29T00:00:00Z
review text: Summary: This paper introduces new approach to approximation of continuous vector-functions and vector sequences by fractal interpolation vector-functions which are multidimensional generalization of fractal interpolation functions. Best values of fractal interpolation vector-functions parameters are found. We give schemes of approximation of some sets of data and consider examples of approximation of smooth curves with different conditions.
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 28A80
zbMATH DE Number: 6929071
Wikidata QID: Q59101580
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/278313
OpenAlex ID: W1597493383
cites work: Fractal functions and interpolation
cites work: Hidden Variable Fractal Interpolation Functions
cites work: The calculus of fractal interpolation functions
cites work: Q5305918
cites work: Novel method of fractal approximation
cites work: Q3731958
cites work: Q5287506
cites work: Q4040874
Recommended article: Fractal approximation of vector functions
Recommended article: A new approximation procedure for fractals
Recommended article: Novel method of fractal approximation
Recommended article: Vector Analysis on Fractals and Applications
Recommended article: APPROXIMATION WITH FRACTAL FUNCTIONS BY FRACTAL DIMENSION
Recommended article: Vector-valued fractal functions: fractal dimension and fractional calculus
Recommended article: Approximation of Complex-Valued Functions by Fractal Functions
Recommended article: Q4495252
Recommended article: Badly approximable vectors on fractals
Recommended article: A NEW NONLINEAR FRACTAL INTERPOLATION FUNCTION
description: scientific article; zbMATH DE number 6929071