QUADRATURE WITH MULTIPLE NODES, POWER ORTHOGONALITY, AND MOMENT-PRESERVING SPLINE APPROXIMATION, PART II

Applicable Analysis and Discrete Mathematics

article

Gradimir Milovanović¹  M. S. Pranić²  M. M. Spalević³ 

[1] Serbian Academy of Sciences and Arts, Beograd, Serbia Faculty of Sciences and Mathematics, University of Niˇs;Department of Mathematics and Informatics, University of Banja Luka Faculty of Science;Department of Mathematics, University of Belgrade Faculty of Mechanical Engineering

关键词: Degree of precision;    s- and sigma-ortogonal polynomials;    Gauss-Turan quadrature rules;    Quadratures with multiple nodes;    Chebyshev polynomials;   

DOI  :  10.2298/AADM180730018M

学科分类：社会科学、人文和艺术（综合）

来源: Univerzitet u Beogradu * Elektrotehnicki Fakultet / University of Belgrade, Faculty of Electrical Engineering

【 摘 要 】

The paper deals with new contributions to the theory of the Gauss quadrature formulas with multiple nodes that are published after 2001, includingnumerical construction, error analysis and applications. The first part waspublished in Numerical analysis 2000, Vol. V, Quadrature and orthogonalpolynomials (W. Gautschi, F. Marcellan, and L. Reichel, eds.) [J. Comput.Appl. Math. 127 (2001), no. 1-2, 267–286].

【 授权许可】

Unknown