Bivariate Mellin convolution operators: quantitative approximation theorems

DOI10.1016/J.MCM.2010.11.089zbMath1217.41024OpenAlexW2083620823MaRDI QIDQ552140

Carlo Bardaro, Ilaria Mantellini

Publication date: 21 July 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.11.089

zbMATH Keywords

moments\(K\)-functionalVoronovskaja formulaMellin operators

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral operators (47G10) 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 ⋮ Modular filter convergence theorems for abstract sampling type operators ⋮ A new approach to nonlinear singular integral operators depending on three parameters ⋮ Asymptotic evaluations for multivariate Mellin convolution operators

Cites Work

• A quantitative voronovskaya formula for Mellin convolution operators
• Korovkin-type approximation theory and its applications
• A direct approach to the Mellin transform
• Voronovskaya-type estimates for Mellin convolution operators
• Exact interpolation theorems for Lipschitz continuous functions
• Generalized Sampling Approximation of Bivariate Signals: Rate of Pointwise Convergence
• Asymptotic formulae for bivariate Mellin convolution operators
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