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Asymptotic approximation of functions and their derivatives by Müller’s Gamma operators

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Abstract

We obtain the complete asymptotic expansion of the image functions of Müller’s Gamma operators and of their derivatives. All expansion coefficients are explicitly calculated. Moreover, we study linear combinations of Gamma operators having a better degree of approximation than the operators themselves. Using divided differences we define general classes of linear combinations of which special cases were recently introduced and investigated by other authors.

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Authors and Affiliations

  1. Fachbereich MND, Fachhochschule Giessen-Friedberg, University of Applied Sciences, Wilhelm-Leuschner-Straße 13, 61169, Friedberg, Germany

    Ulrich Abel

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

    Mircea Ivan

Authors
  1. Ulrich Abel
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  2. Mircea Ivan
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Correspondence to Ulrich Abel.

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Abel, U., Ivan, M. Asymptotic approximation of functions and their derivatives by Müller’s Gamma operators. Results. Math. 43, 1–12 (2003). https://doi.org/10.1007/BF03322716

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