Approximation of Complex-Valued Functions by Fractal Functions
From MaRDI portal
Publication:6136178
DOI10.21494/iste.op.2021.0645MaRDI QIDQ6136178
Publication date: 28 August 2023
Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)
convergencefractal dimensionfractal approximationconstrained fractal approximationcomplex fractal approximation
Real- or complex-valued set functions (28A10) 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)
Cites Work
- Unnamed Item
- Unnamed Item
- Associate fractal functions in \(\mathcal{L}^p\)-spaces and in one-sided uniform approximation
- Fractal approximation
- Fractal polynomial interpolation
- Fractal functions and interpolation
- Bernstein fractal trigonometric approximation
- Fractal perturbation of shaped functions: convergence independent of scaling
- Bernstein fractal approximation and fractal full Müntz theorems
- \(\alpha\)-fractal rational splines for constrained interpolation
- A constructive approach to cubic Hermite fractal interpolation function and its constrained aspects
- Smooth fractal interpolation
- Fundamental sets of fractal functions
- FRACTAL TRIGONOMETRIC POLYNOMIALS FOR RESTRICTED RANGE APPROXIMATION
- BOX DIMENSIONS OF α-FRACTAL FUNCTIONS
- FRACTAL BASES OF Lp SPACES
- BERNSTEIN FRACTAL RATIONAL APPROXIMANTS WITH NO CONDITION ON SCALING VECTORS
- Generalized Cubic Spline Fractal Interpolation Functions
- Applications of functional analysis and operator theory
This page was built for publication: Approximation of Complex-Valued Functions by Fractal Functions