The initial functions in a subdivision scheme

2001-07
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The initial functions in a subdivision scheme

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2001-07

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In this paper we shall study the initial functions in a subdivision scheme in a Sobolev space. By investigating the mutual relations among the initial functions in a subdivision scheme, we are able to study in a relatively unified approach several questions related to a subdivision scheme in a Sobolev space such as convergence, error estimate and convergence rate of a subdivision scheme in a Sobolev space with a general dilation matrix. A generalized definition of convergence of subdivision schemes in Banach spaces is also introduced.

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Han, Bin. (2001). The initial functions in a subdivision scheme. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3657.

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