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

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.

arXiv commentThis 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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