A note on the Voronovskaja theorem for Mellin–Fejer convolution operators

✍ Scribed by Carlo Bardaro; Ilaria Mantellini

• Publisher: Elsevier Science
• Year: 2011
• Tongue: English
• Weight: 209 KB
• Volume: 24
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2011.05.043

✦ Synopsis

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.