Fractal Polynomials and Maps in Approximation of Continuous Functions

DOI10.1080/01630563.2015.1078816zbMath1339.41024OpenAlexW2222404123MaRDI QIDQ2805981

M. A. Navascués, Puthan Veedu Viswanathan, Arya Kumar Bedabrata Chand

Publication date: 13 May 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2015.1078816

zbMATH Keywords

best approximationfractal interpolation functionfractal polynomialconstrained approximationSAIN property

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Approximation with constraints (41A29) Fractals (28A80) Approximation by other special function classes (41A30)

Related Items (12)

Generalized bivariate Hermite fractal interpolation function ⋮ Generalized zipper fractal approximation and parameter identification problems ⋮ Bases consisting of self-referential functions in Banach spaces ⋮ Approximation by shape preserving fractal functions with variable scalings ⋮ Shape preserving rational cubic trigonometric fractal interpolation functions ⋮ Positivity preserving rational quartic spline zipper fractal interpolation functions ⋮ Weyl-Marchaud fractional derivative of a vector valued fractal interpolation function with function contractivity factors ⋮ Parameter Identification for a Class of Bivariate Fractal Interpolation Functions and Constrained Approximation ⋮ FRACTAL APPROXIMATION OF JACKSON TYPE FOR PERIODIC PHENOMENA ⋮ Kantorovich-Bernstein α-fractal function in 𝓛^P spaces ⋮ Multivariate fractal interpolation functions: some approximation aspects and an associated fractal interpolation operator ⋮ Cyclic Meir-Keeler Contraction and Its Fractals

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