Monotone and Convex Approximation by Splines: Error Estimates and a Curve Fitting Algorithm
From MaRDI portal
Publication:3956295
DOI10.1137/0719092zbMath0493.65002OpenAlexW2059731747MaRDI QIDQ3956295
Publication date: 1982
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0719092
error estimatescurve fittingJackson type estimatesmonotone and convex approximationlocal convexity preservation
Numerical computation using splines (65D07) Numerical smoothing, curve fitting (65D10) Spline approximation (41A15)
Related Items (12)
Tractable approximate robust geometric programming ⋮ Quadratic and related exponential splines in shape preserving interpolation ⋮ An unconstrained dual program for computing convex \(C^ 1\)-spline approximants ⋮ A shape preserving interpolant with tension controls ⋮ Monotone and convex interpolation by weighted quadratic splines ⋮ A survey on univariate data interpolation and approximation by splines of given shape ⋮ A two stage \(k\)-monotone B-spline regression estimator: uniform Lipschitz property and optimal convergence rate ⋮ Shape-preserving piecewise rational interpolation with higher order continuity ⋮ A Novel Recursive Modification Framework for Enhancing Polynomial Reproduction Property of Interpolation Basis Functions ⋮ An algorithm for computing shape-preserving cubic spline interpolation to data ⋮ Convexity-preserving approximation by univariate cubic splines ⋮ Convex polynomial and spline approximation in \(C[-1,1\)]
Uses Software
This page was built for publication: Monotone and Convex Approximation by Splines: Error Estimates and a Curve Fitting Algorithm
