A note on the Voronovskaja theorem for Mellin–Fejer convolution operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 2011 Italy English Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 24, pages 2,064-2,067 (issn: 0893-9659,

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Authors: BARDARO, Carlo; MANTELLINI, Ilaria;

doi: 10.1016/j.aml.2011.05.043

handle: 11391/247889

A note on the Voronovskaja theorem for Mellin–Fejer convolution operators

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Abstract

The authors make use of a Taylor formula ``in terms of Mellin derivatives and notion of logarithmic'' moment and state a Voronovskaja approximation formula for a class of Mellin-Fejér type convolution operators. Applications to specific integral operators notably, the Mellin-Gauss-Weierstrass operator have also given.

Country

Italy

Related Organizations

University of Perugia
Italy
National Institute for Nuclear Physics
Italy

Keywords

Mellin-fejer convolution operators,Mellin derivatives, local moments, Local moments, Integral operators, Groups and semigroups of linear operators, Mellin-Fejér convolution operators, Mellin derivatives, local moments, Applied Mathematics, Linear operators in \({}^*\)-algebras, Mellin–Fejer convolution operators, Kernel operators

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