• [1] P. Appell, Sur une classe de polynômes à deux variables et le calcul approché des intégrales doubles, Ann. Fac. Sci. Toulouse Sci. Math. Sci. Phys. 4 (1890), no. 2, H1–H20 (French). MR 1508102
• [2] A. Erdelyi et al., Higher Transcendental Functions, Vol. 2, Bateman Manuscript Project, McGraw-Hill, New York, 1953. MR 15, 419.
• [3] Philip J. Davis, Interpolation and approximation, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1963. MR 0157156 (28 #393)
• [4] Wolfgang Gröbner, "Über die Konstruktion von Systemen orthogonaler Polynome in ein- und zwei-dimensionalen Bereichen," Monatsh. Math., v. 52, 1948, pp. 38-54. MR 9, 430.
• [5] Paul R. Halmos, Measure Theory, D. Van Nostrand Company, Inc., New York, N. Y., 1950. MR 0033869 (11,504d)
• [6] Preston C. Hammer, Numerical evaluation of multiple integrals, On numerical approximation. Proceedings of a Symposium, Madison, April 21-23, 1958, Edited by R. E. Langer. Publication no. 1 of the Mathematics Research Center, U.S. Army, the University of Wisconsin, The University of Wisconsin Press, Madison, 1959, pp. 99–115. MR 0100355 (20 #6788)
• [7] F. B. Hildebrand, Introduction to numerical analysis, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1956. MR 0075670 (17,788d)
• [8] P. M. Hirsch, Numerical Evaluation and Estimation of Multiple Integrals, Ph.D. Thesis, Univ. of Wisconsin, Madison, Wis., 1966. (Unpublished.)
• [9] Johann Radon, Zur mechanischen Kubatur, Monatsh. Math. 52 (1948), 286–300 (German). MR 0033206 (11,405b)
• [10] A. H. Stroud, Integration formulas and orthogonal polynomials, SIAM J. Numer. Anal. 4 (1967), 381–389. MR 0228180 (37 #3764)
• [11] Vladimir Tchakaloff, Formules de cubatures mécaniques à coefficients non négatifs, Bull. Sci. Math. (2) 81 (1957), 123–134 (French). MR 0094632 (20 #1145)
• [12] Morris Weisfeld, Orthogonal polynomials in several variables, Numer. Math. 1 (1959), 38–40. MR 0102902 (21 #1687)

Bibliography

[1]

P. Appel, "Sur une classe de polynômes a deux variables et le calcul approché des intégrales doubles," Ann. Fac. Sci. Univ. Toulouse, v. 4, 1890, pp. H.1-H.20. MR 1508102

[2]

A. Erdelyi et al., Higher Transcendental Functions, Vol. 2, Bateman Manuscript Project, McGraw-Hill, New York, 1953. MR 15, 419.

[3]

P. J. Davis, Interpolation and Approximation, Blaisdell, New York, 1963. MR 28 #393. MR 0157156 (28:393)

[4]

Wolfgang Gröbner, "Über die Konstruktion von Systemen orthogonaler Polynome in ein- und zwei-dimensionalen Bereichen," Monatsh. Math., v. 52, 1948, pp. 38-54. MR 9, 430.

[5]

P. R. Halmos, Measure Theory, Van Nostrand, New York, 1964. MR 11, 504. MR 0033869 (11:504d)

[6]

P. C. Hammer, "Numerical evaluation of multiple integrals," On Numerical Approximation, Univ. of Wisconsin Press, Madison, Wis., 1959, pp. 99-115. MR 20 #6788. MR 0100355 (20:6788)

[7]

F. B. Hildebrand, Introduction to Numerical Analysis, McGraw-Hill, New York, 1956. MR 17, 788. MR 0075670 (17:788d)

[8]

P. M. Hirsch, Numerical Evaluation and Estimation of Multiple Integrals, Ph.D. Thesis, Univ. of Wisconsin, Madison, Wis., 1966. (Unpublished.)

[9]

Johann Radon, "Zur mechanischen Kubatur," Monatsh. Math. Phys., v. 52, 1948, pp. 286-300. MR 11, 405. MR 0033206 (11:405b)

[10]

A. H. Stroud, "Integration formulas and orthogonal polynomials," SIAM J. Numer. Anal., v. 4, 1967, pp. 381-389. MR 0228180 (37:3764)

[11]

Vladimir Tchakaloff, "Formulas of mechanical cubature with non-negative coefficients," Bull. Sci. Math., (2), v. 81, 1957, pp. 123-134. MR 20 #1145. MR 0094632 (20:1145)

[12]

Morris Weisfeld, "Orthogonal polynomials in several variables," Numer. Math., v. 1, 1959, pp. 38-40. MR 21 #1687. MR 0102902 (21:1687)