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On some approximation theorems for the Poisson integral for Hermite expansions

Теоремы аппроксимации интегралов Пуассона для разложений Эрмита

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Abstract

The aim of this paper is to study the Voronovskaya type theorem and the rate of convergence for the Poisson integral for Hermite expansions.

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В статье изучаются теоремы типа Вороновской, а также порядок приближения интегралов Пуассона для разложений Эрмита.

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Authors and Affiliations

  1. Institute of Mathematics, Pedagogical University, ul. Podchora̧żych 2, PL-30-084, Kraków, Poland

    Grażyna Krech

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  1. Grażyna Krech
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Correspondence to Grażyna Krech.

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Krech, G. On some approximation theorems for the Poisson integral for Hermite expansions. Anal Math 40, 133–145 (2014). https://doi.org/10.1007/s10476-014-0204-9

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  • DOI: https://doi.org/10.1007/s10476-014-0204-9

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