Constrained shape preserving rational cubic fractal interpolation functions

DOI10.1216/RMJ-2018-48-1-75zbMath1391.28005WikidataQ129899965 ScholiaQ129899965MaRDI QIDQ1747333

K. R. Tyada, Arya Kumar Bedabrata Chand

Publication date: 7 May 2018

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1524880882

zbMATH Keywords

convergence analysispositivityiterated function systemsfractal interpolationbounding Cauchy remainderconstrained data interpolationPeano-kernel theorem

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Fractals (28A80) Approximate quadratures (41A55) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Approximation by other special function classes (41A30)

Related Items (5)

Shape preserving rational cubic trigonometric fractal interpolation functions ⋮ Shape preserving \(\alpha\)-fractal rational cubic splines ⋮ Positivity preserving rational quartic spline zipper fractal interpolation functions ⋮ Constrained and convex interpolation through rational cubic fractal interpolation surface ⋮ Cubic spline fractal solutions of two-point boundary value problems with a non-homogeneous nowhere differentiable term

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