Refinable functions, functionals, and iterated function systems
From MaRDI portal
Publication:668356
DOI10.1016/j.amc.2015.06.006zbMath1410.65029OpenAlexW807019664MaRDI QIDQ668356
Publication date: 19 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.06.006
Numerical computation using splines (65D07) Singular functions, Cantor functions, functions with other special properties (26A30) Iteration theory, iterative and composite equations (39B12) Fractals (28A80) Approximation by other special function classes (41A30)
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Cites Work
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- Binomial measures and their approximations
- Orthogonal polynomials and Gaussian quadrature for refinable weight functions
- Probabilistic method for a class of functional-differential equations
- The calculus of fractal interpolation functions
- Singularity of certain self-affine measures
- An efficient and reliable quadrature algorithm for integration with respect to binomial measures
- Refinable functions with non-integer dilations
- \(C^1\)-continuity of the generalized four-point scheme
- Fractal functions and interpolation
- Recurrent iterated function systems
- Symmetric iterative interpolation processes
- A generalization of IFS with probabilities to infinitely many maps
- A stable Stieltjes technique for computing orthogonal polynomials and Jacobi matrices associated with a class of singular measures
- Matrix refinement equations: existence and uniqueness
- Interpolation through an iterative scheme
- Generalized refinement equations and subdivision processes
- Dynamical systems and numerical analysis: The study of measures generated by uncountable I.F.S.
- Refinement equations with nonnegative coefficients
- Direct and inverse computation of Jacobi matrices of infinite iterated function systems
- Singularity of a class of self-similar measures
- Fractal properties of interpolatory subdivision schemes and their application in fractal generation
- Computation of quadrature rules for integration with respect to refinable functions on assigned nodes
- Iterated Function Systems with Overlaps and Self-Similar Measures
- Subdivision schemes in geometric modelling
- Orthogonal polynomials for refinable linear functionals
- Iterated function systems and the global construction of fractals
- Two-Scale Difference Equations. I. Existence and Global Regularity of Solutions
- Ten Lectures on Wavelets
- Two-Scale Difference Equations II. Local Regularity, Infinite Products of Matrices and Fractals
- Random Affine Iterated Function Systems: Curve Generation and Wavelets
- Characterizations of Scaling Functions: Continuous Solutions
- Using the Refinement Equation for Evaluating Integrals of Wavelets
- ON THE THERMODYNAMIC FORMALISM FOR MULTIFRACTAL FUNCTIONS
- Generalized Cubic Spline Fractal Interpolation Functions
- Invariant Probabilities for Certain Markov Processes
- Recent results on functional equations in a single variable, perspectives and open problems
