In this paper we give a quantitative Voronovskaya formula for a class of Mellin convolution operators in terms of the Peetre K-functional and moreover we furnish various applications to some classical operators including Mellin-Gauss-Weierstrass, Mellin-Abel-Poisson and Mellin-Picard integral operators.
A quantitative Voronovskaya formula for Mellin convolution operators
BARDARO, Carlo;MANTELLINI, Ilaria
2010
Abstract
In this paper we give a quantitative Voronovskaya formula for a class of Mellin convolution operators in terms of the Peetre K-functional and moreover we furnish various applications to some classical operators including Mellin-Gauss-Weierstrass, Mellin-Abel-Poisson and Mellin-Picard integral operators.File in questo prodotto:
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