Results 11 to 20 of about 5,604,790 (214)
Local α-fractal interpolation function. [PDF]
Eur Phys J Spec Top, 2023 Constructions of the (global) fractal interpolation functions on standard function spaces got a lot of attention in the last centuries. Motivated by the newly introduced local fractal functions corresponding to a local iterated functions system which is the generalization of the traditional iterated functions system we construct the local non-affine α-
Banerjee A, Akhtar MN, Navascués MA.
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Generalized Bivariate Hermite Fractal Interpolation Function [PDF]
Numerical 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.
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Graph-directed fractal interpolation functions [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2017 14 ...
Deniz, Ali, Özdemir, Yunus
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Fractal 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
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Fractional Calculus of Fractal Interpolation Function on [0,b](b>0) [PDF]
Abstract 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
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On the Bernstein Affine Fractal Interpolation Curved Lines and Surfaces
Axioms, 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
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Fractal interpolation function on products of the Sierpiński gaskets
Chaos, Solitons & Fractals, 2023 13 pages, Submitted to a Journal for possible ...
S.A. Prasad, S. Verma
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A NEW NONLINEAR FRACTAL INTERPOLATION FUNCTION
Fractals, 2017 In this paper, we propose a new nonlinear fractal interpolation function by using the Matkowski’s fixed point theorem and Rakotch contraction. The aim of this paper is to create a method that is accurate and suitable for practical applications such as shape representation.
SONGIL RI
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Positivity-Preserving Rational Cubic Fractal Interpolation Function Together with Its Zipper Form [PDF]
AxiomsIn this paper, a novel class of rational cubic fractal interpolation function (RCFIF) has been proposed, which is characterized by one shape parameter and a linear denominator.
Shamli Sharma +4 more
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On bivariate fractal interpolation for countable data and associated nonlinear fractal operator
Demonstratio MathematicaFractal interpolation has been conventionally treated as a method to construct a univariate continuous function interpolating a given finite data set with the distinguishing property that the graph of the interpolating function is the attractor of a ...
Pandey Kshitij Kumar +2 more
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