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Interpolation et approximation optimales et ’spline functions’. (French) Zbl 0188.43702


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[1] Atteia, M., Étude de certains noyaux et théorie des fonctions “splines” en analyse numérique, Thèse Fac. Sciences (1966), Grenoble
[2] Ahlberg, J. M.; Nilson, E. N.; Walsh, J. L., Fundamental properties of generalized splines, (Proc. Natl. Acad. Sci. U.S., S2 (1964)), 1412-1479 · Zbl 0136.36204
[3] Aubin, J. P., Évaluation des erreurs de troncature des approximations des espaces de Sobolev, J. Math. Anal. Appl. (1967) · Zbl 0162.18102
[4] Aubin, J. P., Approximation des espaces de distributions et des opérateurs différentiels, Mémoire Soc. Math. France no. 12 (1967) · Zbl 0157.21901
[5] de Boor, C., Best approximation properties of spline functions of odd degree, J. Math. Mech., 12, 747-750 (1963) · Zbl 0116.27601
[6] J. Cea; J. Cea
[7] Y. Cherruault; Y. Cherruault · Zbl 0169.19601
[8] Curry, H. B.; Schoenberg, I. J., On Polya frequency functions. IV, J. Anal. Math., 17, 71-107 (1966) · Zbl 0146.08404
[9] Deny; Lions, J. L., Les espaces du type de Beppo-Levi, Ann. Inst. Fourrier, 5, 305-370 (1955) · Zbl 0065.09903
[10] Golomb, M., Lectures on theory of approximation (1962), Argonne National Laboratory
[11] Golomb, M.; Weinbeger, M. F., Optimal Approximation on Error Bounds. On Numerical Approximation, ((1959), Univ. of Wisconsin Press: Univ. of Wisconsin Press Madison, Wisconsin), 117-190
[12] Greville, T. N., Interpolation by generalized spline functions, M. R. C. Tech. Rept., 476 (1964) · Zbl 0141.33602
[13] Karlin, S.; Studden, W., Tchebychev Systems (1966), Wiley (Interscience): Wiley (Interscience) New York · Zbl 0153.38902
[14] Karlin, S.; Ziegler, Z., Tchebychev spline functions, SIAM J. Num. Anal., 3, 514-543 (1966) · Zbl 0171.31002
[15] Sard, A., Linear approximation, (Math. Surveys, 9 (1963), A.M.S) · Zbl 0115.05403
[16] Schoenberg, I. J., On spline functions, M.R.C. Tech. Rept., 625 (1966) · Zbl 0156.28702
[17] Schoenberg, I. J., On variation diminishing approximation methods, (On Numerical Approximation (1959), Univ. of Wisconsin Press: Univ. of Wisconsin Press Madison, Wisconsin), 249-274 · Zbl 0171.31001
[18] Schoenberg, I. J., On interpolation by spline functions and its minimal properties, Interseries of Num. Math., 5, 109-129 (1964) · Zbl 0147.32101
[19] Schoenberg, I. J., On best approximation of linear operators, Indag. Math., 26, 155-163 (1964) · Zbl 0146.08501
[20] Schoenberg, I. J., On mono splines of least deviation and best quadrature formulae, SIAM J. Num. Anal., 2, 144-170 (1965) · Zbl 0136.36203
[21] L. Schwartz; L. Schwartz
[22] L. SchwartzAnn, Inst. Fourier67; L. SchwartzAnn, Inst. Fourier67
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