Interpolation by Bivariate Polynomials Based on Multivariate F-truncated Powers

Interpolation by Bivariate Polynomials Based on Multivariate F-truncated Powers

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摘要 The solvability of the interpolation by bivariate polynomials based on multivariate F-truncated powers is considered in this short note. It unifies the pointwise Lagrange interpolation by bivariate polynomials and the interpolation by bivariate polynomials based on linear integrals over segments in some sense. The solvability of the interpolation by bivariate polynomials based on multivariate F-truncated powers is considered in this short note. It unifies the pointwise Lagrange interpolation by bivariate polynomials and the interpolation by bivariate polynomials based on linear integrals over segments in some sense.

作者 Yuan Xue-mei

机构地区 General Courses Department

出处《Communications in Mathematical Research》 CSCD 2014年第4期379-382,共4页 数学研究通讯（英文版）

基金 The NSF (10401021) of China

关键词 multivariate F-truncated power point-wise Lagrange interpolation solvability of an interpolation problem multivariate F-truncated power point-wise Lagrange interpolation solvability of an interpolation problem

分类号 O174.41 [理学—基础数学]

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1Xu Z. Multivariate F-splines and fractional box splines. J. Fourier Anal. Appl., 2009, 15:723 738.
2Hakopian H. Multivariate divided differences and multivarite interpolation of Lagrange and Hermite type. J. Approx. Theory, 1982, 34: 286-305.
3Liang X. Multivariate Polynomial Interpolation and Approximation. Master's Thesis. Chang- chun: Jilin University, 1965.
4Bojanov B, Georgieva I. Interpolation by bivariate polynomials based on Radon projections. Studia Math., 2004, 162:141-160.
5Cavaretta A, Micchelli C, Sharma A. Multivariate interpolation and the Radon transform, Part I. Math. Z., 1980, 174: 263-279.
6Cavaretta A, Mieehelli C, Sharma A. Multivariate Interpolation and the Radon Transform, Part II. in: DeVore R, Seherer K. Quantitive Approximation. New York: Academic Press, 1980: 49-62.
7Micchelli C. On a Numerically Efficient Method for Computing Multivariate B-splines. in: Sehempp W, Zeller K. Multivariate Approximation Theory. Basel: Birkhauser, 1979:211-248.

1Sorin G. Gal (University of Oradea, Romania).SHAPE-PRESERVING BIVARIATE POLYNOMIAL APPROXIMATION IN C([-1,1]×[-1,1])[J].Approximation Theory and Its Applications,2002,18(1):26-33.
2CHEN LiangYu,ZENG ZhenBing.Parallel computation of determinants of matrices with multivariate polynomial entries[J].Science China(Information Sciences),2013,56(11):154-169. 被引量：2
3方崇荣.现代红木家具鉴赏——百狮蜀汉大屏风[J].浙江林业,2014(4):22-23.
4Almaraz Luengo Elena.First Order Stochastic Dominance in Truncated Pareto Distributions[J].通讯和计算机（中英文版）,2011,8(3):222-224. 被引量：1
5撤掉权力象征的专属办公桌[J].五金科技,2015,0(6):66-68.
6牢记“传播、教育、施加影响”使命充分运用手中权力——2013国际五金联合会大会报告等4条[J].中国五金与厨卫,2013(7):24-24.
7Almaraz Luengo Elena.First Order Stochastic Dominance in Truncated Log-Normal Distributions[J].通讯和计算机（中英文版）,2011,8(9):716-719.
8李甜.片断[J].缤纷,2007,0(4):26-27.
9曹红哲,曹廷彬.TWO MEROMORPHIC FUNCTIONS SHARE SOME PAIRS OF SMALL FUNCTIONS WITH TRUNCATED MULTIPLICITIES[J].Acta Mathematica Scientia,2014,34(6):1854-1864.
10雷钟哲.家具[J].标准生活,2013(7):81-83.

Communications in Mathematical Research

2014年第4期

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Interpolation by Bivariate Polynomials Based on Multivariate F-truncated Powers

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