Non-stationary \(\alpha\)-fractal surfaces
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Publication:2681755
DOI10.1007/S00009-022-02242-9OpenAlexW4313242441MaRDI QIDQ2681755
Publication date: 7 February 2023
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-022-02242-9
box dimensionfractal operatorfractal interpolation surfacesoscillation spaces\(\alpha\)-fractal functionsequence of contraction maps
Complete metric spaces (54E50) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fractals (28A80)
Related Items (9)
Box dimension and fractional integrals of multivariate \(\alpha\)-fractal functions ⋮ New type of fractal functions for the general data sets ⋮ Dimensions of new fractal functions and associated measures ⋮ ON THE CLASSICAL INTEGRAL OF FRACTAL FUNCTIONS ⋮ Non-stationary \(\alpha \)-fractal functions and their dimensions in various function spaces ⋮ On dimension of fractal functions on product of the Sierpiński gaskets and associated measures ⋮ On fractal dimension of the graph of nonstationary fractal interpolation function ⋮ Fractal functions using weak contraction theory in some function spaces and generalized \(\alpha\)-fractal functions ⋮ Non-stationary zipper \(\alpha\)-fractal functions and associated fractal operator
Cites Work
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- Fractal approximation
- Fractal surfaces
- The Minkowski dimension of the bivariate fractal interpolation surfaces
- Fractal polynomial interpolation
- Construction and box dimension of recurrent fractal interpolation surfaces
- Fractal functions and interpolation
- Geometrical dimension versus smoothness
- Bernstein fractal trigonometric approximation
- Fractal perturbation of shaped functions: convergence independent of scaling
- Approximation by hidden variable fractal functions: a sequential approach
- Dimensional analysis of \(\alpha\)-fractal functions
- Attractors of trees of maps and of sequences of maps between spaces with applications to subdivision
- A fractal operator associated with bivariate fractal interpolation functions on rectangular grids
- Construction of recurrent bivariate fractal interpolation surfaces and computation of their box-counting dimension
- Box dimension, oscillation and smoothness in function spaces
- Non-stationary versions of fixed-point theory, with applications to fractals and subdivision
- CONSTRUCTION OF FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS
- A general construction of fractal interpolation functions on grids of n
- Hidden Variable Bivariate Fractal Interpolation Surfaces
- BOX DIMENSION OF BILINEAR FRACTAL INTERPOLATION SURFACES
- Approximation properties of bivariate α-fractal functions and dimension results
- CONSTRUCTION OF FRACTAL SURFACES
- Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation
- FRACTAL INTERPOLATION SURFACES ON RECTANGULAR GRIDS
- Generalized Cubic Spline Fractal Interpolation Functions
- BIVARIATE FRACTAL INTERPOLATION FUNCTIONS ON GRIDS
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