Error bounds in Gaussian integration of functions of low-order continuity

Rabinowitz, Philip

doi:10.1090/S0025-5718-1968-0226861-7

Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

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Error bounds in Gaussian integration of functions of low-order continuity
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Math. Comp. 22 (1968), 431-434 Request permission

References

Philip J. Davis and Philip Rabinowitz, Numerical integration, Blaisdell Publishing Co. [Ginn and Co.], Waltham, Mass.-Toronto, Ont.-London, 1967. MR 0211604
David Elliott, Chebyshev series method for the numerical solution of Fredholm integral equations, Comput. J. 6 (1963/64), 102–111. MR 155452, DOI 10.1093/comjnl/6.1.102
A. H. Stroud and Don Secrest, Gaussian quadrature formulas, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1966. MR 0202312