On spline interpolation at all integer points of the real axis

Isaac J. Schoenberg

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1967-1968)

  • Volume: 9, Issue: 1, page 1-18

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Schoenberg, Isaac J.. "On spline interpolation at all integer points of the real axis." Séminaire Delange-Pisot-Poitou. Théorie des nombres 9.1 (1967-1968): 1-18. <http://eudml.org/doc/110696>.

@article{Schoenberg1967-1968,
author = {Schoenberg, Isaac J.},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {approximation and series expansion},
language = {eng},
number = {1},
pages = {1-18},
publisher = {Secrétariat mathématique},
title = {On spline interpolation at all integer points of the real axis},
url = {http://eudml.org/doc/110696},
volume = {9},
year = {1967-1968},
}

TY - JOUR
AU - Schoenberg, Isaac J.
TI - On spline interpolation at all integer points of the real axis
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1967-1968
PB - Secrétariat mathématique
VL - 9
IS - 1
SP - 1
EP - 18
LA - eng
KW - approximation and series expansion
UR - http://eudml.org/doc/110696
ER -

References

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  1. [1] Boas ( R.P., Jr). - Entire functions. - New York, Academic Press, 1954(Pure and applied Mathematics, Academic Press, 5). Zbl0058.30201MR68627
  2. [2] Epstein ( B.), Greenstein ( D.S.) and Minker ( J.). - An extremal problem with infinitely many interpolation conditions, Ann. Acad. Scient. Fennicae, Series A 1, Math., 1958, n° 250/10, 9 p. Zbl0080.28801MR95959
  3. [3] Golomb ( M.) and Schoenberg ( I.J.). - On Hm-extension of functions and spline interpolation, Second symposium on Inequalities [1967. Colorado Springs]. 
  4. [4] Greville ( T.N.E.). - Spline functions, interpolation, and numerical quadrature, in mathematical methods for digital computers, Vol. 2. Edited by A. Ralston and H. S. Wilf, Chap. 8, p. 156-168. - New York, J. Wiley and Sons, 1967. MR223801
  5. [5] Schoenberg ( I.J.). - Contributions to the problem of approximation of equidistance data by analytic functions, Quart. of appl. Math., t. 4, 1946, p. 45-99 and 112-141. Zbl0061.28804
  6. [6] Schoenberg ( I.J.). - Spline interpolation and the higher derivatives, Proc. Nat. Acad. Sc. U. S. A., t. 51, 1964, p. 24-28. Zbl0136.36201MR160064
  7. [7] Schoenberg ( I.J.). - Spline interpolation and the higher derivatives, A contribution to a volume dedicated to the memory of Edmund Landau, Edited by Paul Turán (to appear in East Berlin, 1968). Zbl0198.09003MR160064
  8. [8] Whittaker ( J.M.). - Interpolatory function theory [Reprinted (1935) edition]. - New York, Stechert-Hafner, 1964(Cambridge Tracts in Mathematics and mathematical Physics, 33). Zbl0012.15503MR185330

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