arXiv:0911.2896 Abstract | arXiv Analytics

arXiv:0911.2896 [math.NA]Abstract References Reviews Resources

Optimal Quadrature Formulas with Positive Coefficients in $L_2^{(m)}(0,1)$ Space

Published 2009-11-16Version 1

In the Sobolev space $L_2^{(m)}(0,1)$ optimal quadrature formulas with the nodes (1.5) are investigated. For optimal coefficients explicit form are obtained and norm of the error functional is calculated. In particular, by choosing parameter $\eta_0$ in (1.5) the optimal quadrature formulas with positive coefficients are obtained and compared with well known optimal formulas.

Comments: 32 pages, submitted to the Journal of computational and applied mathematics

Categories: math.NA

Subjects: 65D32, 65D30

Keywords: optimal quadrature formulas, positive coefficients, optimal coefficients explicit form, optimal formulas, sobolev space

Related articles: Most relevant | Search more

arXiv:1410.8423 [math.NA] (Published 2014-10-30)

Optimal quadrature formulas with derivatives in Sobolev space

Kh. M. Shadimetov, A. R. Hayotov, F. A. Nuraliev

arXiv:1005.0163 [math.NA] (Published 2010-05-02)

Optimal quadrature formulas of closed type in the space $L_2^{(m)}(0,1)$

Kh. M. Shadimetov

arXiv:0810.5421 [math.NA] (Published 2008-10-30)