ASYMPTOTIC FORMULAE FOR BIVARIATE MELLIN CONVOLUTION OPERATORS

ASYMPTOTIC FORMULAE FOR BIVARIATE MELLIN CONVOLUTION OPERATORS

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摘要 In this paper some Voronovskaya approximation formulae for a class of Mellin convolution operators of the type （Twf）（x,y）=∫R^2＋Kw（tx^-1,vy^-1）f（t,v）dtdv/tv are given. Moreover, various examples are discussed. In this paper some Voronovskaya approximation formulae for a class of Mellin convolution operators of the type （Twf）（x,y）=∫R^2＋Kw（tx^-1,vy^-1）f（t,v）dtdv/tv are given. Moreover, various examples are discussed.

作者 C. Bardaro I. Mantellini

机构地区 University of Perugia

出处《Analysis in Theory and Applications》 2008年第4期377-394,共18页 分析理论与应用（英文刊）

关键词 Mellin convolution operator local moment Voronovskaya formula Mellin convolution operator, local moment, Voronovskaya formula

分类号 O177 [理学—基础数学]

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参考文献12

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Analysis in Theory and Applications

2008年第4期

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ASYMPTOTIC FORMULAE FOR BIVARIATE MELLIN CONVOLUTION OPERATORS

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