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The convergence rate of Multi-Bernstein-Durrmeyer operators with Jacobi weights

โœ Scribed by Xuan Peicai; Wang Jianli; You Gongqiang; Song Ruying

Publisher
Springer
Year
2002
Tongue
English
Weight
359 KB
Volume
18
Category
Article
ISSN
1573-8175

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๐Ÿ“œ SIMILAR VOLUMES

A generalised beta integral and the limi
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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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## Abstract In the present paper, we introduce certain __q__โ€Durrmeyer operators and estimate the rate of convergence for continuous functions in terms of modulus of continuity. The obtained estimate is sharp with respect to order. Copyright ยฉ 2008 John Wiley & Sons, Ltd.