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A Strong Converse Inequality for Gamma-Type Operators

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Constructive Approximation Aims and scope

Abstract.

We give a strong converse inequality of type A in the usual sup-norm for a noncentered gamma operator L t * , providing at the same time upper and lower constants. This operator, which does not preserve smooth functions, is connected with real Laplace transforms and Poisson mixtures. We use a probabilistic approach based on the representation of L t * in terms of gamma processes.

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Authors and Affiliations

  1. Departamento de Métodos Estadísticos , Facultad de Ciencias Universidad de Zaragoza (Spain), ES

    J. A. Adell

  2. Departamento de Métodos Estadísticos, Facultad de Ciencias Universidad de Zaragoza (Spain), ES

    C. Sangüesa

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  1. J. A. Adell
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  2. C. Sangüesa
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Additional information

October 15, 1997. Date revised: September 14, 1998. Date accepted: October 7, 1998.

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Adell, J., Sangüesa, C. A Strong Converse Inequality for Gamma-Type Operators. Constr. Approx. 15, 537–551 (1999). https://doi.org/10.1007/s003659900121

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  • DOI: https://doi.org/10.1007/s003659900121

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