16
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

Comparison theorems for monosplines and best one-sided approximation

Pages 423-445 | Received 01 Oct 1983, Published online: 26 Jun 2007

References

  • Karlin , S. 1971 . Best quadrature formulas and splines . J. Approximation Theory , 4 : 59 – 90 .
  • Karlin , S. 1976 . “ A global improvement theorem for polynomial monosplines ” . In Studies in spline functions and approximation theory , Edited by: Karlin , S. , Micchelli , C. A. , Pinkus , A. and Schoenberg , I. J. Vol. 67 , Now York : Academic Press .
  • Karlin , S. and Micchelli , C. A. 1972 . The fundamental theorem of algebra for monosplines satisfying boundary conditions . Israel J. Math. , 11 : 405 – 451 .
  • Micchelli , C. A. and Pinkus , A. 1977 . Moment theory for weak Chebyshev systems with applications to monosplines, quadrature formulae and best one-sided L 1-approximations by spline functions with fixed knots . Siam J. Math. Anal. , 8 : 206 – 230 .
  • Schoenberg , I. J. 1969 . Monosplines and quadrature formulae. In: Theory and applications of spline functions , Edited by: Greville , T. N. E. Vol. 157 , New York : Academic Press .
  • Schumaker , L. L. 1981 . Spline Functions: Basic Theory , New York : Wiley-Interscience .
  • Sommer , M. and Strauss , H. 1981–82 . Unicity of best one-sided L 1-approximations for certain classes of spline functions . Numer. Funct. Anal, and Optimiz. , 4 : 413 – 435 .
  • Strauss , H. 1976 . Approximation mit Splincfunktionen und Quadraturformeln. In: Spline Functions , Edited by: Böhmer , K. , Meinardus , G. and Schempp , W. Vol. 501 , 371 – 419 . Berlin : Springer-Verlag . Lecture Notes in Mathematics
  • Strauss , H. 1979 . Optimal quadrature formulas. In: Approximation in Theorie und Praxis , Edited by: Meinardus , G. 239 – 250 . Mannheim : Bibliographisches Institute .
  • Strauss , H. 1982 . Unicity of best one-sided L j-approximations . Numer. Math. , 40 : 229 – 243 .
  • Strauss , H. Monotonicity of quadrature formulae of Gauss type and comparison theorems for monosplines preprint

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.