Asymptotic formulae for bivariate Mellin convolution operators. (English) Zbl 1199.41110
Summary: Voronovskaya approximation formulae for a class of Mellin convolution operators of the type
\[
(T_wf) (x,y)=\int_{\mathbb{R}^2_+}K_w (tx^{-1},vy^{-1})f (t,v)\frac{\text{d}t\text{d}v}{tv}
\]
are given. Moreover, various examples are discussed.
MSC:
| 41A35 | Approximation by operators (in particular, by integral operators) |
| 41A25 | Rate of convergence, degree of approximation |
| 47G10 | Integral operators |
References:
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