The smoothness of fractal interpolation functions on \(\mathbb{R}\) and on \(p\)-series local fields

DOI10.1155/2014/904576zbMath1419.41001OpenAlexW2045260204WikidataQ59038273 ScholiaQ59038273MaRDI QIDQ2321530

Jing Li, Wei Yi Su

Publication date: 23 August 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/904576

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Fractals (28A80)

Related Items (2)

Histopolating fractal functions ⋮ Bivariate shape preserving interpolation: a fractal-classical hybrid approach

Cites Work

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• On the continuity and differentiability of a kind of fractal interpolation function
• The calculus of fractal interpolation functions
• Fractal functions and interpolation
• Pseudo-differential operators and derivatives on locally compact Vilenkin groups
• The smoothness and dimension of fractal interpolation functions
• Dimension and differentiability of a class of fractal interpolation functions
• Chains of function spaces over Euclidian spaces and local fields
• Hidden Variable Fractal Interpolation Functions
• THE CONNECTION BETWEEN THE ORDERS OF p-ADIC CALCULUS AND THE DIMENSIONS OF THE WEIERSTRASS TYPE FUNCTION IN LOCAL FIELDS
• Fourier Analysis on Local Fields. (MN-15)

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