Splines on generalized quasi-cross-cut partitions |
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| Institution: | 1. Department of Mathematics, Dalian University of Technology, Dalian 116024, China;2. Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA;3. Department of Computer Science, Beijing Polytechnic University, Beijing 100022, China |
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| Abstract: | A new method of obtaining the dimensions of the polynomial splines of degree k and smoothness r f- 1 (r ⩾ 1, and k ⩾ r f- 1 + ξΔ) on generalized quasi-cross-cut partitions is presented, where ξΔ is a number depending on the structure of the partition. |
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