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- W197005747 abstract "Let f ( z ) = ~ t2jz 2j, t2j>=O (j=0, 1, 2, ...), be holomorphic in an j = 0 open disc with the centre z0=0 and radius r > l . Let Q, (n=l , 2,.. .) be +1 interpolatory quadrature formulas approximating the integral ~ f(x)dx. In 1 this paper some classes of interpolatory quadratures are considered, which are based on the zeros of orthogonal polynomials corresponding to an even weight function. It is shown that the sequences Q,[f] (n= l, 2, ...) are monotone. Especially we will prove monotony in Filippi's quadrature rule and with an additional assumption on f monotony in the Clenshaw-Curtis quadrature rule." @default.
- W197005747 created "2016-06-24" @default.
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- W197005747 date "1982-01-01" @default.
- W197005747 modified "2023-09-26" @default.
- W197005747 title "Monotony in Interpolatory Quadratures" @default.
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