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Improper integrals, simple integrals, and numerical quadrature. (English) Zbl 0277.65008


MSC:

65D30 Numerical integration
41A55 Approximate quadratures
26A42 Integrals of Riemann, Stieltjes and Lebesgue type
26A45 Functions of bounded variation, generalizations
Full Text: DOI

References:

[1] Stieltjes, T. J., Quelques recherches sur la théorie des quadratures dites mécaniques, Ann. Sci. École Norm. Sup. Sér. 3, Vol. 1, 409-426 (1884), = Œuvres Complètes, Vol. 1, pp. 377-394 · JFM 16.0242.02
[2] Stroud, A. H.; Secrest, D., Gaussian Quadrature Formulas (1966), Prentice-Hall: Prentice-Hall New York · Zbl 0156.17002
[3] Landau, E., Differential and Integral Calculus (1950), Chelsea: Chelsea New York · Zbl 0042.05502
[4] Szegö, G., Orthogonal Polynomials (1959), American Mathematical Society: American Mathematical Society New York · JFM 65.0278.03
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