Abstract
The methods of real data interpolation can be generalized with fractal interpolation. These fractal interpolation functions can be constructed with the so-called iterated function systems. Local iterated function systems are an important generalization of the classical iterated function systems. In order to obtain new approximation methods this methods can be combined with classical interpolation methods. In this paper we focus on the study of the stochastic local fractal interpolation function in the case of a random data set.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Barnsley, M. F., Hegeland, M., Massopust, P.: Numerics and Fractals. https://arxiv.org/abs/1309.0972,2014
Barnsley, M.F.: Fractals Everywhere. Academic Press (1993)
Hutchinson, J.E.: Fractals and Self Similarity. Indiana University Mathematics Journal, 30, no.5, 713–747 (1981)
Wang, H.Y., Yu, J.S.: Fractal interpolation functions with variable parameters and their analytical properties. J. Approx. Theory 175, 1–18 (2013)
Somogyi, I., Soós, A.: Interpolation using Local Iterated Function Systems, International Conference of Numerical Analysis and Approximation Methods, ICNAAM2017, 25-30 Sept. Thessaloniki, Greece (2017)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 Springer Nature Switzerland AG
About this paper
Cite this paper
Soós, A., Somogyi, I. (2021). Approximation Method with Stochastic Local Iterated Function Systems. In: Vermolen, F.J., Vuik, C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham. https://doi.org/10.1007/978-3-030-55874-1_87
Download citation
DOI: https://doi.org/10.1007/978-3-030-55874-1_87
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-55873-4
Online ISBN: 978-3-030-55874-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)