FRACTAL BASES OF Lp SPACES
From MaRDI portal
Publication:3164806
DOI10.1142/S0218348X12500132zbMath1251.28009OpenAlexW1984550156MaRDI QIDQ3164806
Publication date: 16 October 2012
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x12500132
fractalsleast squares approximationfractal interpolation functionsorthogonal systemsbases of functional spaces
Related Items (35)
Quantum α-fractal approximation ⋮ FRACTAL BASES FOR BANACH SPACES OF SMOOTH FUNCTIONS ⋮ Fractal Jacobi systems and convergence of Fourier-Jacobi expansions of fractal interpolation functions ⋮ New equilibria of non-autonomous discrete dynamical systems ⋮ Bases consisting of self-referential functions in Banach spaces ⋮ Box dimension of \(\alpha\)-fractal function with variable scaling factors in subintervals ⋮ Approximation of Complex-Valued Functions by Fractal Functions ⋮ CONSTRUCTION OF FRACTAL SURFACES ⋮ Some elementary properties of Bernstein-Kantorovich operators on mixed norm Lebesgue spaces and their implications in fractal approximation ⋮ Construction of Fractal Bases for Spaces of Functions ⋮ Bernstein fractal trigonometric approximation ⋮ Fractal functions with function scaling factors as solutions of \((0,4)\) lacunary interpolation problem ⋮ Bivariate shape preserving interpolation: a fractal-classical hybrid approach ⋮ Fractal interpolation functions with partial self similarity ⋮ Fractal perturbation preserving fundamental shapes: bounds on the scale factors ⋮ Fractal perturbation of shaped functions: convergence independent of scaling ⋮ Fractal rational functions and their approximation properties ⋮ Approximation by hidden variable fractal functions: a sequential approach ⋮ Convolved fractal bases and frames ⋮ Fractal approximation of a function from a countable sample set and associated fractal operator ⋮ BERNSTEIN FRACTAL RATIONAL APPROXIMANTS WITH NO CONDITION ON SCALING VECTORS ⋮ AUTOCOVARIANCE AND INCREMENTS OF DEVIATION OF FRACTAL INTERPOLATION FUNCTIONS FOR RANDOM DATASETS ⋮ Perturbation of linear operators on Banach spaces: some applications to Schauder bases and frames ⋮ STATISTICAL PROPERTIES OF LINEAR FRACTAL INTERPOLATION FUNCTIONS FOR RANDOM DATA SETS ⋮ Fractal interpolation: a sequential approach ⋮ Some properties of the fractal convolution of functions ⋮ On the box-counting dimension of graphs of harmonic functions on the Sierpiński gasket ⋮ Bases of Banach and Hilbert spaces transformed by linear operators ⋮ Energy minimizing associate fractal functions ⋮ Bernstein fractal approximation and fractal full Müntz theorems ⋮ Multivariate fractal interpolation functions: some approximation aspects and an associated fractal interpolation operator ⋮ Fractal convolution: A new operation between functions ⋮ More general fractal functions on the sphere ⋮ A REVISIT TO STABILITY OF SCHAUDER BASES: FRACTALIZING MULTIVARIATE FABER–SCHAUDER SYSTEM ⋮ SHAPE PRESERVING ASPECTS OF BIVARIATE α-FRACTAL FUNCTION
Cites Work
- Unnamed Item
- Unnamed Item
- A basis theory primer.
- Fractal approximation
- Bessel sequences of exponentials on fractal measures
- Analysis of \(\mu_{R,D}\)-orthogonality in affine iterated function systems
- Fractal functions and interpolation
- Dense analytic subspaces in fractal \(L^2\)-spaces
- Fourier frames
- Fundamental sets of fractal functions
- FRACTAL GEOMETRY OF FINANCIAL TIME SERIES
- On the Weierstrass-Mandelbrot fractal function
- Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
This page was built for publication: FRACTAL BASES OF Lp SPACES