In this paper we give some Voronovskaja approximation formulae for a class of Mellin convolution operators. We discuss separately the linear and nonlinear cases and we furnish various applications to some classical operators, for example Mellin-Gauss-Weierstrass and Mellin-Abel-Poisson operators.
Voronovskaya-Type Estimates for Mellin Convolution Operators
BARDARO, Carlo;MANTELLINI, Ilaria
2007
Abstract
In this paper we give some Voronovskaja approximation formulae for a class of Mellin convolution operators. We discuss separately the linear and nonlinear cases and we furnish various applications to some classical operators, for example Mellin-Gauss-Weierstrass and Mellin-Abel-Poisson operators.File in questo prodotto:
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