Publication Cover
Applicable Analysis
An International Journal
Volume 4, 1974 - Issue 3
11
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

On the closedness of the linear image of a set with applications to generalized spline functionsFootnote

&
Pages 191-205 | Published online: 10 May 2007

References

  • Anselone , P. M. and Laurent , P. J. 1968 . A general method for the construction of inter¬polating or smoothing splines . Numer. Math , 12 : 66 – 82 .
  • Atteia , M. 1965 . Generalisation de la definition et des proprietes des spline function . Comptes Rend , 260 : 3550 – 3353 .
  • Atteia , M. 1965 . Spline fonctions generalises . Comptes. Rend , 261 : 2149 – 2152 .
  • Atteia , M. 1966 . Existence et determination des fonctions splines a plusieurs variables . Comptes Rend , 262 : 578 – 578 .
  • Atteia , M. 1967 . Fonctions spline avec contraintes lineaires de type inegalite . Congres de VA.F.LR.O , 262 : 42 – 54 .
  • Atteia , M. 1966 . Theorie et applications des fonctions-spline en analyse numerique . Grenoble . 1966 .
  • Atteia , M. 1968 . Fonctions spline defines sur un ensemble convexe . Numer. Math , 12 : 192 – 210 .
  • Atteia , M. 1970 . Fonction spline et noyaux reproduisants d''Aronszajn-Bergman . Francais Inf. Rech. Operationnelle , 4 : 31 – 43 .
  • Daniel , J. W. 1971 . Remarks on the closedness of a sum of two sets , Center for Numerical Analysis, University of Texas at Austin .
  • de Boor , C. and Lunch , R.E. 1966 . On splines and their minimal properties . Math. Mech. , 15 : 953 – 969 .
  • Dieudonne , Jean . 1966 . Sur la separation des ensemble convexes . Math. Annalen , 163 : 1 – 3 .
  • Golornb , M. 1968 . Splines, w-widths, and optimal approximations . M.R.C. Tech. Summ. Rpt , 784
  • Jerome , J.W. and John Pierce . 1972 . On spline functions determined by singular self-adjoint differential operators . Approx. Th , 5 : 15 – 40 .
  • Jerome , J.W. and Schumaker , L.L. 1969 . On Z#-splines . J, Approx, Th , 2 : 29 – 49 .
  • Jerome , J.W. and Schumaker , L.L. 1969 . Characterizations of functions with higher order derivatives in V . Trans. A.M.S , 143 : 363 – 371 .
  • Laurent , P.J. 1970 . Construction of spline functions in a convex set . Approximations with Special Emphasis on Spline Functions, , 143 : 415 – 446 .
  • Laurent , P.J. 1968 . Representation de donnes experimentales a l'aide de fonctions-spline d'adjustement et evaluation optimale de fonctionalles lineaires continues . Aplikacy Mat. , 13 : 154 – 162 .
  • Mangasarian , O.L. and Schumaker , L.L. 1970 . Splines via optimal control . Approxima¬tions with Special Emphasis on Spline Functions, , 13 : 119 – 156 .
  • Mangasarian , O.L. and Schumake , L.L. 1971 . Discrete splines via mathematical program¬ming . SIAMJ. Control , 9 : 174 – 183 .
  • Sard , A. 1967 . Optimal approximation . Fund. Anal , 1 : 222 – 243 .
  • Schumaker , L.L. 1970 . Spline functions and applications , Austin : University of Texas .

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.