Publication Cover
Applicable Analysis
An International Journal
Volume 49, 1993 - Issue 1-2
25
Views
11
CrossRef citations to date
0
Altmetric
Miscellany

The sampling series as a limiting case of lagrange interpolation

&
Pages 49-60 | Received 15 Sep 1991, Published online: 02 May 2007

References

  • Ii , Behnkc and F , Sommer . 1962 . Thcoric iler analylischen Funktionen cincr komplcxen Vcrdnderlicli.cn , Bcrlin-Gottingcn-Heidclbcrg : Springer Vcrlag .
  • P.L , Butzer and R.L , Stens . 1908 . Charles Baron de la Vallee Poussin, Collected Works , P.L. Butzer and J. Mawhin .
  • P.L , Butzer , Vv , SplettstoCcr and R.L , Stens . 1955 . The sampling theorem and linear prediction in signal analysis . Jahresbcr. Deutsch. Math.-Verein , 90 : 1 – 70 .
  • W.L , Fcrrar . 1925 . On the cardinal function of interpolation theory . Proc. Roy. Soc. Edinburgh , 45 : 269 – 282 .
  • J.R , Higgins . 1985 . Five short stories about the cardinal series . Dull. American Math. Soc , 12 : 45 – 89 .
  • G , Ilinscn . 1991 . AbtaslsdLze mil unregclmdfiiycn Stutzstcllen: Rckonstruktionsfor-mcln, Konvcrgcnzaussagcn und Fehlcrbclrachlungen , Aachen : Doctoral Dissertation .
  • G , Ilinscn . Irregular sampling of bandlimited Lp- functions , to be published .
  • D , Klosters . 1991 . Die Ablaslrcihe und Lagrange-Intcrpolalion . Diploma Thesis ,
  • N , Levinson . 1940 . Gap and Density Theorems , New York : AMS Colloq. Publ .
  • S.M , Nikol'skii . 1975 . Approximation of Functions of Several Variables and Imbedding Theorems , New York : Springer Vcrlag, Berlin-Heidelberg .
  • W , Splettstocer - It , G , Stens and Wilmes . 1981 . On approximation by the interpolator series of G. Valiron . Fund. Approx. Comment. Math , 11 : 39 – 53 .
  • E.T , Whittaker . 1915 . On the functions which are represented by the expansion of the interpolation theory . Proc. Roy. Soc. Edinburgh , 35 : 181 – 194 .
  • E.T , Whittaker and A , Watson . 1952 . A Course of Modern Analysis , Cambridge : Cambridge University Press .
  • J.M , Whittaker . 1935 . Inlcrpolatory Function Theory , Cambridge : Cambridge University Press .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.