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Semigroups Associated to Mache Operators (II)

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Trends and Applications in Constructive Approximation

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 151))

Abstract

This short note contains some supplementary results concerning the operators introduced by D.H. Mache and the semigroup associated with them. Special attention is paid to the action of the operators and the semigroup on monomials.

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References

  1. Altomare, F. and Rasa, I., On some classes of diffusion equations and related approximation problems, these Proceedings.

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  2. Mache, D.H., A link between Bernstein polynomials and Durrmeyer polynomials with Jacobi weights, in: Approximation Theory VIII, Vol. 1, Approximation and Interpolation, C.K. Chui and L.L. Schumaker (Eds.), World Scientific Publ.Co., 1995, 403–410.

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  3. Rasa, I., Semigroups associated to Mache operators, in: Advanced Problems in Constructive Approximation, (Eds.) M.D. Buhmann and D.H. Mache, Int. Series of Numerical Mathematics Vol.142, Birkhäuser Verlag, Basel (2002), 143–152.

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  4. Rasa, I., Positive operators, Feller semigroups and diffusion equations associated with Altomare projections, Conf. Sem. Mat. Univ. Bari 284 (2002), 1–26.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Technical University of Cluj-Napoca, Str.C.Daicoviciu, 15, 3400, Cluj-Napoca, Romania

    Ioan Rasa

Authors
  1. Ioan Rasa
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Editor information

Editors and Affiliations

  1. FB3, Applied Mathematics (Constructive Approximation), University of Applied Science Bochum, Herner Str. 45, D-44787, Bochum

    Detlef H. Mache

  2. Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, P.O. Box 127, H-1364, Budapest

    JĂłzsef Szabados

  3. Department of Applied Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA, Delft, The Netherlands

    Marcel G. de Bruin

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Rasa, I. (2005). Semigroups Associated to Mache Operators (II). In: Mache, D.H., Szabados, J., de Bruin, M.G. (eds) Trends and Applications in Constructive Approximation. ISNM International Series of Numerical Mathematics, vol 151. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7356-3_16

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