Non-stationary zipper \(\alpha\)-fractal functions and associated fractal operator

DOI10.1007/s13540-022-00067-7zbMath1503.28010OpenAlexW4289667207WikidataQ114016974 ScholiaQ114016974MaRDI QIDQ2110539

Saurabh Verma, Sangita Jha, Arya Kumar Bedabrata Chand

Publication date: 21 December 2022

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13540-022-00067-7

zbMATH Keywords

box dimensionfractional calculusfractal interpolation functionzippernon-stationary iterated function system

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Interpolation in approximation theory (41A05) Fractals (28A80) Iteration of real functions in one variable (26A18) Approximation by other special function classes (41A30)

Related Items (4)

Box dimension and fractional integrals of multivariate \(\alpha\)-fractal functions ⋮ A new type of zipper fractal interpolation surfaces and associated bivariate zipper fractal operator ⋮ 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

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