A fractal operator associated with bivariate fractal interpolation functions on rectangular grids
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Publication:2301579
DOI10.1007/s00025-019-1152-2zbMath1435.28015arXiv1810.09701OpenAlexW2999874465WikidataQ126380941 ScholiaQ126380941MaRDI QIDQ2301579
Publication date: 25 February 2020
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.09701
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Fractals (28A80) Approximation by other special function classes (41A30) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)
Related Items (17)
Construction and box dimension of recurrent fractal interpolation surfaces ⋮ FRACTAL DIMENSION OF MULTIVARIATE α-FRACTAL FUNCTIONS AND APPROXIMATION ASPECTS ⋮ In reference to a self-referential approach towards smooth multivariate approximation ⋮ 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 ⋮ Dimensional analysis of \(\alpha\)-fractal functions ⋮ A fractal version of a bivariate Hermite polynomial interpolation ⋮ A countable fractal interpolation scheme involving Rakotch contractions ⋮ 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 ⋮ A REVISIT TO STABILITY OF SCHAUDER BASES: FRACTALIZING MULTIVARIATE FABER–SCHAUDER SYSTEM ⋮ THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES ⋮ SHAPE PRESERVING ASPECTS OF BIVARIATE α-FRACTAL FUNCTION ⋮ \(\mathcal{L}^p\)-approximation using fractal functions on the Sierpiński gasket
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