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

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

2010-05-02

arxiv.org/abs/1005.0163v1

Mathematics

Numerical Analysis

This article is the fifth section of the author's Candidate dissertation entitled "Optimal formulas of approximate integration

Scientific paper

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.

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