一种新形式的二元混合有理插值

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 280-284.

一种新形式的二元混合有理插值

1. Key Lab of Network and Intelligent Information Processing, Hefei University2. College of Mathematics, Hefei University of Technology

收稿日期:2008-04-24 出版日期:2011-06-30 发布日期:2023-05-05
作者简介:TANG Shuo(1964-), male, native of Chaohu, Anhui, a professor of Hefei University of Technology, engages in acceleration convergence of continued fractions, rational interpolation and approximation.
基金资助:
Supported by the Project Foundation of the Department of Education of Anhui Province(KJ2008A027,KJ2010B182,KJ2011B152,KJ2011B137)； Supported by the Grant of Scientific Research Foundation for Talents of Hefei University(11RC05)； Supported by the Grant of Scientific Research Foundation Hefei University(11KY06ZR)；

New Approach to Bivariate Blending Rational Interpolants

1. Key Lab of Network and Intelligent Information Processing, Hefei University2. College of Mathematics, Hefei University of Technology

Received:2008-04-24 Online:2011-06-30 Published:2023-05-05
About author:TANG Shuo(1964-), male, native of Chaohu, Anhui, a professor of Hefei University of Technology, engages in acceleration convergence of continued fractions, rational interpolation and approximation.
Supported by:
Supported by the Project Foundation of the Department of Education of Anhui Province(KJ2008A027,KJ2010B182,KJ2011B152,KJ2011B137)； Supported by the Grant of Scientific Research Foundation for Talents of Hefei University(11RC05)； Supported by the Grant of Scientific Research Foundation Hefei University(11KY06ZR)；

摘要/Abstract

摘要： Newton’s polynomial interpolation may be the favorite linear interpolation, associated continued fractions interpolation is a new type nonlinear interpolation. We use those two interpolation to construct a new kind of bivariate blending rational interpolants. Characteristic theorem is discussed. We give some new blending interpolation formulae.

关键词: associated continued fractions interpolation, blending rational interpolants;
characteristic theorem

Abstract: Newton’s polynomial interpolation may be the favorite linear interpolation, associated continued fractions interpolation is a new type nonlinear interpolation. We use those two interpolation to construct a new kind of bivariate blending rational interpolants. Characteristic theorem is discussed. We give some new blending interpolation formulae.

Key words: associated continued fractions interpolation, blending rational interpolants;
characteristic theorem

中图分类号:

O174.42

邹乐, 唐烁. 一种新形式的二元混合有理插值[J]. 数学季刊, 2011, 26(2): 280-284.

ZOU Le, TANG Shuo. New Approach to Bivariate Blending Rational Interpolants [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 280-284.