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Further Results for kth order Kantorovich Modification of Linking Baskakov Type Operators

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Abstract

In this paper we consider a non-trivial link between Baskakov type operators and their genuine Durrmeyer type modification as well as the kth order Kantorovich variant. Recursion formulas for the moments and the images of monomials are proved in order to derive asymptotic expansions. Furthermore we investigate convexity properties of the linking operators and the limiting behavior for certain function spaces.

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Authors and Affiliations

  1. Faculty of Mathematics and Natural Sciences, University of Wuppertal, Gaußstraße 20, 42119, Wuppertal, Germany

    Katharina Baumann & Margareta Heilmann

  2. Department of Mathematics, Technical University, Str. Memorandumului 28, 400114, Cluj-Napoca, Romania

    Ioan Raşa

Authors
  1. Katharina Baumann
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  2. Margareta Heilmann
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  3. Ioan Raşa
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Correspondence to Margareta Heilmann.

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Baumann, K., Heilmann, M. & Raşa, I. Further Results for kth order Kantorovich Modification of Linking Baskakov Type Operators. Results. Math. 69, 297–315 (2016). https://doi.org/10.1007/s00025-015-0511-x

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  • DOI: https://doi.org/10.1007/s00025-015-0511-x

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