Constructive solutions for systems of iterative functional equations

DOI10.1007/s00365-016-9349-zzbMath1369.39019OpenAlexW2460046084MaRDI QIDQ524412

Jorge Buescu, Cristina Serpa

Publication date: 2 May 2017

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-016-9349-z

zbMATH Keywords

explicit solutionsiterative functional equationssystem of functional equationsfractal interpolationbounded and continuous solutionsDe Rham function

Mathematics Subject Classification ID

Iteration theory, iterative and composite equations (39B12) Interpolation in approximation theory (41A05) Fractals (28A80) Systems of functional equations and inequalities (39B72)

Related Items (9)

AFFINE FRACTAL LEAST SQUARES REGRESSION MODEL ⋮ Fractal interpolation over nonlinear partitions ⋮ Hausdorff dimensions for graph-directed measures driven by infinite rooted trees ⋮ ON THE CLASSICAL INTEGRAL OF FRACTAL FUNCTIONS ⋮ Clifford-valued fractal interpolation ⋮ Fractal Functions and the Dragon’s Mountain: A Functional Equations Perspective ⋮ Some results for conjugate equations ⋮ Compatibility conditions for systems of iterative functional equations with non-trivial contact sets ⋮ Fractal and Hausdorff dimensions for systems of iterative functional equations

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