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Asymptotic formulae for bivariate Mellin convolution operators

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Analysis in Theory and Applications

Abstract

In this paper some Voronovskaya approximation formulae for a class of Mellin convolution operators of the type

$$ (T_w f)(x,y) = \int_{\mathbb{R}_ + ^2 } {K_w } (tx^{ - 1} ,vy^{ - 1} )f(t,v)\frac{{dtdv}} {{tv}} $$

are given. Moreover, various examples are discussed.

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Authors and Affiliations

  1. University of Perugia, Perugia, Italy

    C. Bardaro & I. Mantellini

  2. Department of Mathematics and Informatics, University of Perugia, Via Vanvitelli 1, 06123, Perugia, Italy

    C. Bardaro & I. Mantellini

Authors
  1. C. Bardaro
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  2. I. Mantellini
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Correspondence to C. Bardaro.

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Bardaro, C., Mantellini, I. Asymptotic formulae for bivariate Mellin convolution operators. Anal. Theory Appl. 24, 377–394 (2008). https://doi.org/10.1007/s10496-008-0377-9

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  • DOI: https://doi.org/10.1007/s10496-008-0377-9

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