Asymptotic formulae for bivariate Mellin convolution operators

DOI10.1007/s10496-008-0377-9zbMath1199.41110OpenAlexW2004248072MaRDI QIDQ3642084

Carlo Bardaro, Ilaria Mantellini

Publication date: 11 November 2009

Published in: Analysis in Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10496-008-0377-9

zbMATH Keywords

Mellin convolution operatorVoronovskaya formulalocal moment

Mathematics Subject Classification ID

Integral operators (47G10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35)

Related Items (5)

The moments of the bivariate Mellin–Picard-type kernels and applications ⋮ Almost everywhere approximation capabilities of double Mellin approximate identity neural networks ⋮ Bivariate generalized Kantorovich-type exponential sampling series ⋮ Bivariate Mellin convolution operators: quantitative approximation theorems ⋮ Asymptotic evaluations for multivariate Mellin convolution operators

Cites Work

• Approximation formulae of Voronovskaya-type for certain convolution operators
• On the asymptotic approximation with bivariate operators of Bleimann, Butzer and Hahn
• Korovkin-type approximation theory and its applications
• A direct approach to the Mellin transform
• Voronovskaya-type estimates for Mellin convolution operators
• Multivariate moment type operators: approximation properties in Orlicz spaces
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