Next Article in Journal / Special Issue
Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications
Previous Article in Journal
A Sparse Representation Algorithm for Effective Photograph Retrieval
Previous Article in Special Issue
Rational Spline Image Upscaling with Constraint Parameters
Article Menu

Export Article

Open AccessArticle
Math. Comput. Appl. 2017, 22(1), 11;

A New Approximation Method with High Order Accuracy

School of Mathematics and Statistics, Linyi University, Linyi 276005, China
Academic Editor: Xiuping Liu
Received: 12 October 2016 / Revised: 2 January 2017 / Accepted: 5 January 2017 / Published: 19 January 2017
(This article belongs to the Special Issue Information and Computational Science)
Full-Text   |   PDF [763 KB, uploaded 19 January 2017]   |  


In this paper, we propose a new multilevel univariate approximation method with high order accuracy using radial basis function interpolation and cubic B-spline quasi-interpolation. The proposed approach includes two schemes, which are based on radial basis function interpolation with less center points, and cubic B-spline quasi-interpolation operator. Error analysis shows that our method produces higher accuracy compared with other approaches. Numerical examples demonstrate that the proposed scheme is effective. View Full-Text
Keywords: Radial Basis Functions (RBFs); cubic B-spline; quasi-interpolation; approximation accuracy Radial Basis Functions (RBFs); cubic B-spline; quasi-interpolation; approximation accuracy

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

MDPI and ACS Style

Jiang, Z. A New Approximation Method with High Order Accuracy. Math. Comput. Appl. 2017, 22, 11.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Metrics

Article Access Statistics



[Return to top]
Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top