EXISTENCE AND BOX DIMENSION OF GENERAL RECURRENT FRACTAL INTERPOLATION FUNCTIONS

DOI10.1017/S0004972720001045zbMath1462.28010MaRDI QIDQ5857595

Jianci Xiao, Huo-Jun Ruan, Bing Yang

Publication date: 1 April 2021

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

box dimensioniterated function systemsstrongly connected componentrecurrent fractal interpolation functions

Mathematics Subject Classification ID

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

Related Items (9)

Fractal convolution on the rectangle ⋮ ON FRACTAL DIMENSIONS OF FRACTAL FUNCTIONS USING FUNCTION SPACES ⋮ Box dimension and fractional integrals of multivariate \(\alpha\)-fractal functions ⋮ Box dimension of generalized affine fractal interpolation functions ⋮ Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions ⋮ Non-stationary \(\alpha \)-fractal functions and their dimensions in various function spaces ⋮ CORRECTION TO ‘EXISTENCE AND BOX DIMENSION OF GENERAL RECURRENT FRACTAL INTERPOLATION FUNCTIONS’ ⋮ Histopolating fractal functions ⋮ On the construction of recurrent fractal interpolation functions using Geraghty contractions

Cites Work

• The Minkowski dimension of the bivariate fractal interpolation surfaces
• Box dimension and fractional integral of linear fractal interpolation functions
• The capacity for a class of fractal functions
• Fractal functions and interpolation
• Recurrent iterated function systems
• Bilinear fractal interpolation and box dimension
• Approximation of rough functions
• A general construction of fractal interpolation functions on grids of ⁿ
• Matrix Analysis
• Using iterated function systems to model discrete sequences
• BOX DIMENSION OF BILINEAR FRACTAL INTERPOLATION SURFACES

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