A new class of rational cubic spline fractal interpolation function and its constrained aspects

DOI10.1016/j.amc.2018.10.036zbMath1428.28016OpenAlexW2899516253MaRDI QIDQ2008423

S. K. Katiyar, G. Saravana Kumar, Arya Kumar Bedabrata Chand

Publication date: 25 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.10.036

zbMATH Keywords

positivityiterated function systemfractalsfractal interpolation functionsrational cubic fractal functionsrational cubic interpolation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Approximation by rational functions (41A20) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Fractals (28A80) Monotonic functions, generalizations (26A48)

Related Items (8)

LINEAR FRACTAL INTERPOLATION FUNCTION FOR DATA SET WITH RANDOM NOISE ⋮ Parameter identification of constrained data by a new class of rational fractal function ⋮ Construction of cubic spline hidden variable recurrent fractal interpolation function and its fractional calculus ⋮ MULTIVARIATE AFFINE FRACTAL INTERPOLATION ⋮ Shape preserving rational cubic trigonometric fractal interpolation functions ⋮ Comments on ``Fractal set of generalized countable partial iterated function system with generalized contractions via partial Hausdorff metric ⋮ SHAPE PRESERVING RATIONAL QUARTIC FRACTAL FUNCTIONS ⋮ Positivity preserving rational quartic spline zipper fractal interpolation functions

Uses Software

• pchip

Cites Work

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