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A Quantitative Voronovskaya Formula for Mellin Convolution Operators

Authors:

Carlo Bardaro Ilaria Mantellini

Affiliation:

(1) Institute of Mathematics, Czestochowa University of Technology, ul. Dabrowskiego 73, 42-200 Czestochowa, Poland

Abstract:

Here we give a quantitative Voronovskaya formula for a class of Mellin convolution operators of type

(T_wf)(s) = ò₀^+￥ K_w(zs^-1)f(z)fracdzz.({T_w}f)(s) = {int_0^{+infty}} {K_w}(zs^{-1})f(z)frac{dz}{z}.

Keywords:
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