Non-stationary \(\alpha\)-fractal surfaces

DOI10.1007/S00009-022-02242-9OpenAlexW4313242441MaRDI QIDQ2681755

Yanyan Li

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

zbMATH Keywords

box dimensionfractal operatorfractal interpolation surfacesoscillation spaces\(\alpha\)-fractal functionsequence of contraction maps

Mathematics Subject Classification ID

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

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