Minimal monosplines in \(L_2\) and optimal cubature formulae

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  • Gh. Coman "Babeş-Bolyai" University, Cluj-Napoca, Romania
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References

Coman, Gh., Two-dimensional monosplines and optimal cubature formulae. Studia Univ. Babeş-Bolyai Ser. Math.-Mech. 18 (1973), no. 1, 41--53, MR0341816.

Ghizzetti, A.; Ossicini, A., Quadrature formulae. Academic Press, New York 1970 192 pp., MR0269116.

Levin, M., Extremal problems connected with a quadrature formula. (Russian) Eesti NSV Tead. Akad. Toimetised Füüs.-Mat. Tehn. Tead. Seer. 12 1963 44--56, MR0153111.

Levin, M., Šac, È., A generalization of the formula for integration by parts to the case of double integrals. (Russian) Esti NSV Tead. Akad. Toimetised Füüs.-Mat. 18 1969 460--464, MR0282126.

Ritter, K., Two-dimensional spline functions and best approximations of linear functionals. J. Approximation Theory 3 1970 352--368, MR0273257.

Schoenberg, I. J., Monosplines and quadrature formulae. 1969 Theory and Applications of Spline Functions (Proceedings of Seminar, Math. Research Center, Univ. of Wisconsin, Madison, Wis., 1968) pp. 157--207 Academic Press, New York, MR0241865.

Stancu, D. D., The remainder of certain linear approximation formulas in two variables. J. Soc. Indust. Appl. Math. Ser. B Numer. Anal. 1 1964 137--163, MR0177240.

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Published

1978-08-01

How to Cite

Coman, G. (1978). Minimal monosplines in \(L_2\) and optimal cubature formulae. Anal. Numér. Théor. Approx., 7(2), 147–155. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1978-vol7-no2-art4

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Vol. 7 No. 2 (1978)

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