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Certain Results Involving Gammaoperators

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New Developments in Approximation Theory

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 132))

Abstract

A systematic and general investigation of the moments of Gammaoperators and the higher derivatives of its kernel leads in a very natural way to Laguerre polynomials and to a sequence (φ k ) of polynomials with degree [k/2]. The paper is closed with a computational algorithm for a special linear combination L n,r of Gammaoperators.

Dedicated to Professor Werner Meyer — König

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References

  1. A. Lupaş, D.H. Mache and M.W. Müller, Weighted Lp — approximation of derivatives by the method of Gammaoperators, Results in Mathematics, VOL. 28, No. 3/4 (1995), 277–286.

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Author information

Authors and Affiliations

  1. Facultatea de Stiinţe, Universitatea din Sibiu, Str. I.Ratiu nr.7, RO-2400, Sibiu, Romania

    Alexandru Lupaş

  2. Mathematisches Institut Lehrstuhl für Numerische Analysis, Ludwig-Maximilians Universität München, Theresienstr. 39, D-80333, München, Germany

    Detlef H. Mache

  3. Lehrstuhl VIII für Mathematik, Universität Dortmund, Vogelpothsweg 87, D-44221, Dortmund, Germany

    Volker Maier & Manfred W. Müller

Authors
  1. Alexandru Lupaş
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  2. Detlef H. Mache
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  3. Volker Maier
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  4. Manfred W. Müller
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Editor information

Editors and Affiliations

  1. Lehrstuhl VIII für Mathematik, Universität Dortmund, Vogelpothsweg 87, 44221, Dortmund, Germany

    Manfred W. Müller , Martin D. Buhmann , Detlef H. Mache  & Michael Felten , ,  & 

  2. Numerische Analysis, Ludwig-Maximilians-Universität München, Theresienstrasse 39, 80333, München, Germany

    Detlef H. Mache

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© 1999 Springer Basel AG

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Lupaş, A., Mache, D.H., Maier, V., Müller, M.W. (1999). Certain Results Involving Gammaoperators. In: Müller, M.W., Buhmann, M.D., Mache, D.H., Felten, M. (eds) New Developments in Approximation Theory. ISNM International Series of Numerical Mathematics, vol 132. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8696-3_13

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  • DOI: https://doi.org/10.1007/978-3-0348-8696-3_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9733-4

  • Online ISBN: 978-3-0348-8696-3

  • eBook Packages: Springer Book Archive

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