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Ilaria Mantellini
Researcher at University of Perugia
Publications - 85
Citations - 1239
Ilaria Mantellini is an academic researcher from University of Perugia. The author has contributed to research in topics: Operator theory & Mellin inversion theorem. The author has an hindex of 18, co-authored 80 publications receiving 969 citations.
Papers
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Approximation properties in abstract modular spaces for a class of general sampling-type operators
Carlo Bardaro,Ilaria Mantellini +1 more
TL;DR: In this paper, the authors studied approximation properties for general integral operators of the form where G is a locally compact Hausdorff topological space, (Hw )w>0 is a net of closed subsets of G with suitable properties and, for every w>0, μ Hw is a regular measure on Hw.
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Abstract Korovkin-type theorems in modular spaces and applications
TL;DR: In this paper, the authors prove some versions of abstract Korovkin-type theorems in modular function spaces, with respect to filter convergence for linear positive operators, by considering several kinds of test functions.
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On Convergence Properties for a Class of Kantorovich Discrete Operators
Carlo Bardaro,Ilaria Mantellini +1 more
TL;DR: In this paper, pointwise convergence theorems and asymptotic formulae of Voronovskaja type for a general class of Kantorovich discrete operators are given.
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On Mellin convolution operators: a direct approach to the asymptotic formulae
Carlo Bardaro,Ilaria Mantellini +1 more
TL;DR: In this paper, a quantitative Voronovskaja approximation for a general class of Mellin convolution operators is given. But this is not a direct approach to the study of pointwise approximation of such operators, without using the Fourier analysis.