\(\mathcal{L}^p\)-approximation using fractal functions on the Sierpiński gasket

DOI10.1007/S00025-021-01565-5zbMath1486.28005OpenAlexW4212939091MaRDI QIDQ2114974

Vishal Agrawal, Tanmoy Som

Publication date: 15 March 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01565-5

zbMATH Keywords

fractal dimensionSierpiński gasketfractal interpolation functionsself-similar measure\(\mathcal{L}^p\)-approximation

Mathematics Subject Classification ID

Fractals (28A80) Approximation by polynomials (41A10)

Related Items (14)

BOUNDED VARIATION ON THE SIERPIŃSKI GASKET ⋮ APPROXIMATION WITH FRACTAL FUNCTIONS BY FRACTAL DIMENSION ⋮ ON FRACTAL DIMENSIONS OF FRACTAL FUNCTIONS USING FUNCTION SPACES ⋮ Non-stationary \(\phi\)-contractions and associated fractals ⋮ Analytical and dimensional properties of fractal interpolation functions on the Sierpiński gasket ⋮ New type of fractal functions for the general data sets ⋮ Interpolative operators: fractal to multivalued fractal ⋮ Fractal dimensions of mixed Katugampola fractional integral associated with vector valued functions ⋮ Dimensions of new fractal functions and associated measures ⋮ A note on complex-valued fractal functions on the Sierpiński gasket ⋮ Fractional operator associated with the fractal integral of A-fractal function ⋮ 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 ⋮ Fractal functions using weak contraction theory in some function spaces and generalized \(\alpha\)-fractal functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some properties of fractal interpolation functions on Sierpinski gasket
• Fractal approximation
• Fractal polynomial interpolation
• Concerning the vector-valued fractal interpolation functions on the Sierpiński gasket
• Fractal functions and interpolation
• Perturbation of operators and applications to frame theory
• \(L_ 2\)-approximation of real-valued functions with interpolatory constraints
• Fractal functions on the Sierpinski gasket
• A fractal operator associated with bivariate fractal interpolation functions on rectangular grids
• On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket
• Fractal interpolation on the Sierpiński gasket
• \(L_p\) approximation by analytic functions
• FRACTAL INTERPOLATION FUNCTIONS ON POST CRITICALLY FINITE SELF-SIMILAR SETS
• THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES
• ANALYSIS OF MIXED WEYL–MARCHAUD FRACTIONAL DERIVATIVE AND BOX DIMENSIONS
• Approximation in the Mean by Analytic Functions
• Convex \(L^ p\) approximation
• Set-valued analysis

This page was built for publication: \(\mathcal{L}^p\)-approximation using fractal functions on the Sierpiński gasket