## On dimension elevation in quasi extended Chebyshev spaces.(English)Zbl 1144.65013

The present paper is motivated by one of the results on a dimension elevation process involving numbers $$p, q$$ and a chosen integer $$n$$ with $$p=q \geq 3$$ and $$2 \leq n \leq p-1$$, proved by P. Costantini, T. Lyche and C. Manni [Numer. Math. 101, No. 2, 333–354 (2005; Zbl 1085.41002)]. Via blossoms, the author shows that the foregoing result can be extended to the case when $$p, q$$ are greater than $$2$$ and $$2 \leq n\leq \operatorname{Min}(p,q)$$. A similar study of quasi-extended Chebyshev spaces is also made.

### MSC:

 65D18 Numerical aspects of computer graphics, image analysis, and computational geometry

Zbl 1085.41002
Full Text:

### References:

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