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A Quantitative Voronovskaya Formula for Mellin Convolution Operators

✍ Scribed by Carlo Bardaro; Ilaria Mantellini

Publisher
SP Birkhäuser Verlag Basel
Year
2010
Tongue
English
Weight
294 KB
Volume
7
Category
Article
ISSN
1660-5446

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📜 SIMILAR VOLUMES

A note on the Voronovskaja theorem for M
A note on the Voronovskaja theorem for Mellin–Fejer convolution operators
✍ Carlo Bardaro; Ilaria Mantellini 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 209 KB

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.

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Asymptotic Formulas for Convolution Operators with Spline Kernels
✍ S.L. Lee; R. Osman 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 532 KB

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