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Asymptotic behaviour of Jain operators

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Abstract

The topic of the present paper are certain approximation operators acting on the space of continous functions on [0,+∞) having polynomial growth. The operators which were defined by Jain in 1972 are based on a probability distribution which is called generalized Poisson distribution. As a main result we derive a complete asymptotic expansion for the sequence of these operators.

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Authors and Affiliations

  1. Technische Hochschule Mittelhessen, Department MND, Wilhelm-Leuschner-Straße 13, 61169, Friedberg, Germany

    Ulrich Abel

  2. Faculty of Mathematics and Computer Science, Babeş–Bolyai University, Street Kogălniceanu, 1, 400084, Cluj-Napoca, Romania

    Octavian Agratini

Authors
  1. Ulrich Abel
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  2. Octavian Agratini
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Correspondence to Ulrich Abel.

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Abel, U., Agratini, O. Asymptotic behaviour of Jain operators. Numer Algor 71, 553–565 (2016). https://doi.org/10.1007/s11075-015-0009-3

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  • DOI: https://doi.org/10.1007/s11075-015-0009-3

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