Numerical integration by means of Gauss-Legendre formula

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  • Alexandru Lupaş Tiberiu Popoviciu, Institute of Numerical Analysis, Romanian Academy, Romania
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References

Davis Philip, J., Interpolation and approximation. Blaisdell, New York, 1965.

Kronrod, Aleksandr Semenovich, Nodes and weights of quadrature formulas. Sixteen-place tables. Authorized translation from the Russian Consultants Bureau, New York 1965 vii+143 pp., MR0183116.

Krylov, Vladimir Ivanovich, Approximate calculation of integrals. Translated by Arthur H. Stroud The Macmillan Co., New York-London, 1962 1962 x+357 pp., MR0144464.

Lupaş, A., Contributions to the theory of approximation by linear operators. (Dissertation, Romanian), Cluj, 1975 (in Romanian).

Natanson, I. P. Constructive function theory. Vol. III. Interpolation and approximation quadratures. Translated from the Russian by John R. Schulenberger Frederick Ungar Publishing Co., New York 1965 176 pp., MR0196342.

Natanson, I. P. Constructive function theory. Vol. II. Approximation in mean. Translated from the Russian by John R. Schulenberger Frederick Ungar Publishing Co., New York 1965 176 pp., MR0196341.

Natanson, I.P., Constructive function theory. Frekerick Ungar Publ. Co., New York, Press, New York, 1973. - din revista

Ostrowski, A. M., Solution of equations in Euclidean and Banach spaces. Third edition of Solution of equations and systems of equations. Pure and Applied Mathematics, Vol. 9. Academic Press [A Subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, 1973. xx+412 pp., MR0359306.

Popoviciu, Tiberiu, Notes sur les fonctions convexes d'ordre supérieur. IX. Inégalités linéaires et bilinéaires entre les fonctions convexes. Quelques généralisations d'une inégalité de Tchebycheff. (French) Bull. Math. Soc. Roumaine Sci. 43, (1941). 85-141, MR0013170.

Stroud, A. H., Secrest, Don, Gaussian quadrature formulas. Prentice-Hall, Inc., Englewood Cliffs, N.J. 1966 ix+374 pp., MR0202312.

Szegö, Gabor, Orthogonal polynomials. American Mathematical Society Colloquium Publications, Vol. 23. Revised ed. American Mathematical Society, Providence, R.I. 1959 ix+421 pp., MR0106295.

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Published

1980-02-01

How to Cite

Lupaş, A. (1980). Numerical integration by means of Gauss-Legendre formula. Anal. Numér. Théor. Approx., 9(1), 81–92. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1980-vol9-no1-art11

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Vol. 9 No. 1 (1980)

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