Stability of affine coalescence hidden variable fractal interpolation functions

DOI10.1016/J.NA.2007.04.017zbMath1147.26004OpenAlexW1986850835MaRDI QIDQ927944

G. P. Kapoor, Arya Kumar Bedabrata Chand

Publication date: 10 June 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.04.017

zbMATH Keywords

stabilityfractalsiterated function systemshidden variableself-affineaffine fractal interpolationnon-self-affine

Mathematics Subject Classification ID

Numerical interpolation (65D05) Fractals (28A80) Approximation by operators (in particular, by integral operators) (41A35) Attractors of solutions to ordinary differential equations (34D45) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (17)

LINEAR FRACTAL INTERPOLATION FUNCTION FOR DATA SET WITH RANDOM NOISE ⋮ Box-counting dimension and analytic properties of hidden variable fractal interpolation functions with function contractivity factors ⋮ Concerning the vector-valued fractal interpolation functions on the Sierpiński gasket ⋮ CONSTRUCTION OF NONLINEAR HIDDEN VARIABLE FRACTAL INTERPOLATION FUNCTIONS AND THEIR STABILITY ⋮ Convexity/concavity and stability aspects of rational cubic fractal interpolation surfaces ⋮ A fractal interpolation scheme for a possible sizeable set of data ⋮ NONLINEAR RECURRENT HIDDEN VARIABLE FRACTAL INTERPOLATION CURVES WITH FUNCTION VERTICAL SCALING FACTORS ⋮ Bivariate shape preserving interpolation: a fractal-classical hybrid approach ⋮ Fractal interpolation functions with partial self similarity ⋮ Box-counting dimensions of fractal interpolation surfaces derived from fractal interpolation functions ⋮ Positivity and stability of rational cubic fractal interpolation surfaces ⋮ Fractal interpolation functions with variable parameters and their analytical properties ⋮ STATISTICAL PROPERTIES OF LINEAR FRACTAL INTERPOLATION FUNCTIONS FOR RANDOM DATA SETS ⋮ Fractal interpolation: a sequential approach ⋮ SENSITIVITY ANALYSIS FOR HIDDEN VARIABLE FRACTAL INTERPOLATION FUNCTIONS AND THEIR MOMENTS ⋮ Approximation using hidden variable fractal interpolation function ⋮ SMOOTHNESS AND FRACTIONAL INTEGRAL OF HIDDEN VARIABLE RECURRENT FRACTAL INTERPOLATION FUNCTION WITH FUNCTION VERTICAL SCALING FACTORS

Cites Work

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• Fractal functions and interpolation
• The smoothness and dimension of fractal interpolation functions
• Spline coalescence hidden variable fractal interpolation functions
• On Stability of Fractal Interpolation
• Hidden Variable Fractal Interpolation Functions
• Hidden Variable Bivariate Fractal Interpolation Surfaces

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