Rational iterated function system for positive/monotonic shape preservation

DOI10.1186/1687-1847-2014-30zbMath1343.28002OpenAlexW2121658692WikidataQ59401534 ScholiaQ59401534MaRDI QIDQ738366

N. Vijender, Arya Kumar Bedabrata Chand, Ravi P. Agarwal

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-30

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (12)

Positivity Preserving Rational Cubic Trigonometric Fractal Interpolation Functions ⋮ A Monotonic Rational Fractal Interpolation Surface and Its Analytical Properties ⋮ Bicubic partially blended rational fractal surface for a constrained interpolation problem ⋮ A new class of rational cubic spline fractal interpolation function and its constrained aspects ⋮ Approximation by hidden variable fractal functions: a sequential approach ⋮ Positivity and stability of rational cubic fractal interpolation surfaces ⋮ A Novel Approach to Surface Interpolation: Marriage of Coons Technique and Univariate Fractal Functions ⋮ Constrained 2D Data Interpolation Using Rational Cubic Fractal Functions ⋮ Fractal interpolation: a sequential approach ⋮ Data visualization by rational fractal function based on function values ⋮ Bernstein fractal approximation and fractal full Müntz theorems ⋮ SHAPE PRESERVING ASPECTS OF BIVARIATE α-FRACTAL FUNCTION

Uses Software

• pchip

Cites Work

• The calculus of fractal interpolation functions
• Fractal functions and interpolation
• Positivity of cubic polynomials on intervals and positive spline interpolation
• Analysis of fractal wave equations by local fractional Fourier series method
• Monotonicity preserving rational quadratic fractal interpolation functions
• Natural bicubic spline fractal interpolation
• A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects
• Shape-preserving curve interpolation
• On Shape Preserving Quadratic Spline Interpolation
• The Determination of Derivative Parameters for a Monotonic Rational Quadratic Interpolant
• Shape Preserving Piecewise Rational Interpolation
• Monotone Piecewise Cubic Interpolation
• Piecewise Rational Quadratic Interpolation to Monotonic Data
• Generalized Cubic Spline Fractal Interpolation Functions
• A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures
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