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Minimal quadratures for functions of low-order continuity. (English) Zbl 0241.65018


MSC:

65D30 Numerical integration
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References:

[1] R. E. Barnhill, J. E. Dennis Jr., and G. M. Nielson, A new type of Chebyshev quadrature, Math. Comp. 23 (1969), 437 – 441. · Zbl 0176.14302
[2] Ulrich Eckhardt, Einige Eigenschaften Wilfscher Quadraturformeln, Numer. Math. 12 (1968), 1 – 7 (German). · Zbl 0165.51002
[3] David Elliott, Chebyshev series method for the numerical solution of Fredholm integral equations, Comput. J. 6 (1963/1964), 102 – 111. · Zbl 0114.32502
[4] J. P. Imhof, On the method for numerical integration of Clenshaw and Curtis, Numer. Math. 5 (1963), 138 – 141. · Zbl 0115.11702
[5] Philip Rabinowitz, Error bounds in Gaussian integration of functions of low-order continuity, Math. Comp. 22 (1968), 431 – 434. · Zbl 0181.17802
[6] Nira Richter, Properties of minimal integration rules, SIAM J. Numer. Anal. 7 (1970), 67 – 79. · Zbl 0222.65023
[7] Herbert S. Wilf, Exactness conditions in numerical quadrature, Numer. Math. 6 (1964), 315 – 319. · Zbl 0123.12203
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