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The Complete Asymptotic Expansion for Bernstein–Durrmeyer Operators with Jacobi Weights

✍ Scribed by Ulrich Abel; Margareta Heilmann


Publisher
SP Birkhäuser Verlag Basel
Year
2004
Tongue
English
Weight
191 KB
Volume
1
Category
Article
ISSN
1660-5446

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We give a generalisation of the multivariate beta integral. This is used to show that the (multivariate) Bernstein-Durrmeyer operator for a Jacobi weight has a limit as the weight becomes singular. The limit is an operator previously studied by Goodman and Sharma. From the elementary proof given, it

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