Asymptotic formulae for bivariate Mellin convolution operators
β Scribed by C. Bardaro; I. Mantellini
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 160 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1573-8175
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We derive asymptotic formulas for convolution operators with spline kernels for differentiable functions. These formulas are analogous to Bernstein's extension of Voronovskaya's results on Bernstein polynomials for functions with higher order derivatives. Two classes of operators are considered, viz
Here, using Mellin derivatives and a different notion of moment, we state a Voronovskaja approximation formula for a class of Mellin-Fejer type convolution operators. This new approach gives direct and simple applications to various important specific examples.