Geodesic
Cardinal Interpolation and Generalized Exponential Euler Splines
Canadian journal of mathematics, Tome 28 (1976) no. 2, pp. 291-300

Voir la notice de l'article provenant de la source Cambridge University Press

Let denote the class of cardinal splines S(x) of degree n (n ≧ 1) having their knots at the integer points of the real axis. We assume that the knots are simple so that . Recently Schoenberg [3] has studied cardinal splines such that S(x) interpolates the exponential function tx at the integers and 
Sharma, A.; Tzimbalario, J. Cardinal Interpolation and Generalized Exponential Euler Splines. Canadian journal of mathematics, Tome 28 (1976) no. 2, pp. 291-300. doi: 10.4153/CJM-1976-031-9
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[1] 1. Gelfond, A. E., Calculus of finite differences (Dunod, Paris, 1963.) Google Scholar

[2] 2. Greville, T. N. E., Schoenberg, I. J. and Sharma, A., The spline interpolation of sequences satisfying a linear recurrence relation (to appear). Google Scholar

[3] 3. Schoenberg, I. J., Cardinal interpolation and spline functions IV. The exponential Euler splines, appeared in Linear Operators and Approximation Theory Proc. of Conference in Oberwolfach Aug. 14-22, 1971, edited by Butzer, P. L., Kahane, J. P., B. Sz. Nagy, Birkhauser, Basel 1972, pp. 382–404. Google Scholar

[4] 4. Schoenberg, I. J., Cardinal spline interpolation, Regional Conference Series in Applied Mathematics No. 12 (S.I.A.M. Philadelphia 1973). Google Scholar

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