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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2021, Volume 24, Number 2, Pages 117–129
DOI: https://doi.org/10.15372/SJNM20210201 (Mi sjvm770) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Generalized bivariate Hermite fractal interpolation function

S. Jhaa, A. K. B. Chanda, M. A. Navascuesb

a Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600036, India
b Departamento de Matematica Aplicada, Escuela de Ingenieria y Arquitectura, Universidad de Zaragoza, Zaragoza, 500018, Spain
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DOI: https://doi.org/10.15372/SJNM20210201
Abstract: Fractal interpolation provides an efficient way to describe the smooth or non-smooth structure associated with nature and scientific data. The aim of this paper is to introduce a bivariate Hermite fractal interpolation formula which generalizes the classical Hermite interpolation formula for two variables. It is shown here that the proposed Hermite fractal interpolation function and its derivatives of all orders are good approximations of the original function even if the partial derivatives of the original functions are non-smooth in nature.
Key words: fractals, fractal interpolation, Hermite interpolation, fractal surface, convergence.
Received: 01.11.2018
Revised: 01.11.2018
Accepted: 01.11.2018
English version:
Numerical Analysis and Applications, 2021, Volume 14, Issue 2, Pages 103–114
DOI: https://doi.org/10.1134/S1995423921020014
Bibliographic databases:
Document Type: Article
MSC: 28A80, 41A30, 65D05, 65D07, 65D10
Language: Russian
Citation: S. Jha, A. K. B. Chand, M. A. Navascues, “Generalized bivariate Hermite fractal interpolation function”, Sib. Zh. Vychisl. Mat., 24:2 (2021), 117–129; Num. Anal. Appl., 14:2 (2021), 103–114
Citation in format AMSBIB
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