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

Kh. M. Shadimetov

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

Numerical Analysis 2015-03-17 v1

Authors: Kh. M. Shadimetov

Abstract

It is discussed the problem on construction of optimal quadrature formulas in the sense of Sard in the space $L_2^{(m)}(0,1)$ , when the nodes of quadrature formulas are equally spaced. Here the representations of optimal coefficients for any natural numbers $m$ and $N$ are found.

Keywords

optimal quadrature formulas Sard sense equally spaced nodes optimal coefficients Sobolev space

Cite

@article{arxiv.1005.0163,
  title  = {Optimal quadrature formulas of closed type in the space $L_2^{(m)}(0,1)$},
  author = {Kh. M. Shadimetov},
  journal= {arXiv preprint arXiv:1005.0163},
  year   = {2015}
}

Comments

This article is the fifth section of the author's Candidate dissertation entitled "Optimal formulas of approximate integration for differentiable functions"\ - Novosibirsk, 1983. 140 p.

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