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Publication Cover
Applicable Analysis
An International Journal
Volume 33, 1989 - Issue 1-2
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Original Articles

Orthogonal polynomials with respect to a symmetric inner product involving derivatives

H. Bavinck Department of Mathematics and Informatics, Delft University of Technology, Julianalaan, BL Delft, 132, 2628, The Netherlands
&
H.G. Meijer Department of Mathematics and Informatics, Delft University of Technology, Julianalaan, BL Delft, 132, 2628, The Netherlands
Pages 103-117 | Received 22 Nov 1988, Published online: 02 May 2007

References

  • Althammer , P. 1962 . Eine Erweiterung des Orthogonalitatsbegriffes bei Polynomen und deren Anwendung auf die beste Approximation . J. Reine Angew. Math , 2 : 192 – 204 .
  • Brenner , J. 1969 . Uber eine Erweiterung des Orthogonalitatsbegriffes bei Polynomen . Proc. conf. constructive theory ol functions , 2 : 77 – 83 .
  • Grobner , W. 1967 . Orthogonale Polynomsysteme, die gleichzeitig mit f(x) auch der Ableitung f(x) approximieren, in Funktionalanalysis, Approximationstheorie . Numerische Mathematik , 2 : 24 – 32 .
  • Koornwinder , T. H. 1984 . Orthogonal polynomials with weight function . Canad. Math. Bull , 27 : 205 – 214 .
  • Krall , A. M. 1981 . Orthogonal polynomials satisfying fourth order differential equations . Proc. Royal Soc. Edinburgh , 87 : 271 – 288 .
  • Krall , H. L. 1983 . Certain differential equations for Tchebycheff polynomials . Duke Math. J , 4 : 705 – 718 .
  • Krall , H. L. 1940 . On orthogonal polynomials satisfying a certain fourth order differential equation , The Pennsylvania State College Studies .
  • Littlejohn , L. L. 1982 . The Krall polynomials: a new class of orthogonal polynomials . Quaestiones Mathematicae , 5 : 225 – 265 .
  • Szego , G. 1975 . Orthogonal polynomials . Amer. Math. Soc. Colloq. Publ , 23

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