Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation

DOI10.1080/01630563.2020.1738458zbMath1447.28013OpenAlexW3033370557MaRDI QIDQ5119597

No author found.

Publication date: 31 August 2020

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2020.1738458

zbMATH Keywords

parameter identificationHausdorff dimensionbox dimensionfractal interpolation functionconstrained approximation

Mathematics Subject Classification ID

Approximation with constraints (41A29) Fractals (28A80) Approximation by other special function classes (41A30)

Related Items (14)

FRACTAL DIMENSION OF MULTIVARIATE α-FRACTAL FUNCTIONS AND APPROXIMATION ASPECTS ⋮ In reference to a self-referential approach towards smooth multivariate approximation ⋮ Bases consisting of self-referential functions in Banach spaces ⋮ Non-stationary \(\alpha\)-fractal surfaces ⋮ A note on stability and fractal dimension of bivariate \(\alpha\)-fractal functions ⋮ A note on complex-valued fractal functions on the Sierpiński gasket ⋮ A new type of zipper fractal interpolation surfaces and associated bivariate zipper fractal operator ⋮ Event-triggered impulsive controller design for synchronization of delayed chaotic neural networks and its fractal reconstruction: an application to image encryption ⋮ Weyl-Marchaud fractional derivative of a vector valued fractal interpolation function with function contractivity factors ⋮ A fractal version of a bivariate Hermite polynomial interpolation ⋮ Multivariate fractal interpolation functions: some approximation aspects and an associated fractal interpolation operator ⋮ On bivariate fractal approximation ⋮ A revisit to smoothness preserving fractal perturbation of a bivariate function: self-referential counterpart to bicubic splines ⋮ ANALYSIS OF MIXED WEYL–MARCHAUD FRACTIONAL DERIVATIVE AND BOX DIMENSIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparing the degrees of unconstrained and shape preserving approximation by polynomials
• Fractal continuation
• Fractal approximation
• Fractal interpolation functions from \(R^ n\) into \(R^ m\) and their projections
• Smooth interpolating curves and surfaces generated by iterated function systems
• Fractal interpolation surfaces with function vertical scaling factors
• Fractal interpolation functions with variable parameters and their analytical properties
• Fractal surfaces
• The Minkowski dimension of the bivariate fractal interpolation surfaces
• Fractal polynomial interpolation
• On local fractal functions in Besov and Triebel-Lizorkin spaces
• The calculus of fractal interpolation functions
• Variation and Minkowski dimension of fractal interpolation surface
• Box dimension and fractional integral of linear fractal interpolation functions
• Fractal functions and interpolation
• Fractal interpolation surfaces and a related 2-D multiresolution analysis
• Box dimension of \(\alpha\)-fractal function with variable scaling factors in subintervals
• Fractal interpolation functions with partial self similarity
• Generalization of Hermite functions by fractal interpolation
• Counterexamples in parameter identification problem of the fractal interpolation functions
• On the parameter identification problem in the plane and the polar fractal interpolation functions
• Fractal perturbation preserving fundamental shapes: bounds on the scale factors
• Fractal rational functions and their approximation properties
• Bilinear fractal interpolation and box dimension
• Fractal trigonometric approximation
• Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension
• Approximation of rough functions
• Fractal Polynomials and Maps in Approximation of Continuous Functions
• CONSTRUCTION OF FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS
• Evaluating the fractal dimension of surfaces
• A general construction of fractal interpolation functions on grids of ⁿ
• BOX DIMENSION OF BILINEAR FRACTAL INTERPOLATION SURFACES
• BOX DIMENSION OF A NONLINEAR FRACTAL INTERPOLATION CURVE
• BOX DIMENSION OF WEYL–MARCHAUD FRACTIONAL DERIVATIVE OF LINEAR FRACTAL INTERPOLATION FUNCTIONS
• FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS
• A Fractal Operator on Some Standard Spaces of Functions
• One-sided approximation of functions

This page was built for publication: Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation