Results 11 to 20 of about 5,343,237 (227)

Generalized Bivariate Hermite Fractal Interpolation Function [PDF]

open access: yesNumerical Analysis and Applications, 2021
Abstract: Fractal interpolation provides an efficient way to describe a 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 that generalizes the classical Hermite interpolation formula for two variables.
Jha S., Chand A.K.B., Navascues M.A.
openaire   +4 more sources

On the Variable Order Fractional Calculus Characterization for the Hidden Variable Fractal Interpolation Function

open access: yesFractal and Fractional, 2022
In this study, the variable order fractional calculus of the hidden variable fractal interpolation function is explored. It extends the constant order fractional calculus to the case of variable order. The Riemann–Liouville and the Weyl–Marchaud variable
Valarmathi Raja, Arulprakash Gowrisankar
doaj   +2 more sources

Fractional Calculus of Fractal Interpolation Function on [0,b](b>0) [PDF]

open access: yesAbstract and Applied Analysis, 2014
The paper researches the continuity of fractal interpolation function’s fractional order integral on [0,+∞) and judges whether fractional order integral of fractal interpolation function is still a fractal interpolation function on [0,b](b>0) or not ...
XueZai Pan
doaj   +2 more sources

Fractal Interpolation Using Harmonic Functions on the Koch Curve

open access: yesFractal and Fractional, 2021
The Koch curve was first described by the Swedish mathematician Helge von Koch in 1904 as an example of a continuous but nowhere differentiable curve.
Song-Il Ri   +2 more
doaj   +2 more sources

On the Bernstein Affine Fractal Interpolation Curved Lines and Surfaces

open access: yesAxioms, 2020
In this article, firstly, an overview of affine fractal interpolation functions using a suitable iterated function system is presented and, secondly, the construction of Bernstein affine fractal interpolation functions in two and three dimensions is ...
Nallapu Vijender, Vasileios Drakopoulos
doaj   +2 more sources

Graph-directed fractal interpolation functions [PDF]

open access: yesTURKISH JOURNAL OF MATHEMATICS, 2017
14 ...
Deniz, Ali, Özdemir, Yunus
openaire   +3 more sources

The calculus of fractal interpolation functions [PDF]

open access: yesJournal of Approximation Theory, 1989
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barnsley, Michael F   +1 more
openaire   +3 more sources

Compatable smooth interpolation in triangles [PDF]

open access: yes, 1973
Boolean sum smooth interpolation to boundary data on a triangle is described. Sufficient conditions are given so that the functions when pieced together form a CN-1(Ω) function over a triangular subdivision of a polygonal region Ω and the precision sets ...
Gregory, JA, Barnhill, RE
core   +6 more sources

Graph-directed random fractal interpolation function [PDF]

open access: yes, 2021
Barnsley introduced in [1] the notion of fractal interpolation function (FIF). He said that a fractal function is a (FIF) if it possess some interpolation properties.
SOÓS, Anna, SOMOGYI, Ildikó
core   +1 more source

Convexity-Preserving Rational Cubic Zipper Fractal Interpolation Curves and Surfaces

open access: yesMathematical and Computational Applications, 2023
A class of zipper fractal functions is more versatile than corresponding classes of traditional and fractal interpolants due to a binary vector called a signature.
Vijay, Arya Kumar Bedabrata Chand
doaj   +1 more source

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