@Article{NM-15-320, author = {J. Qian and Y. Tang }, title = {On non-uniform algebraic-hyperbolic (NUAH) B-splines}, journal = {Numerical Mathematics, a Journal of Chinese Universities}, year = {2006}, volume = {15}, number = {4}, pages = {320--335}, abstract = { The recurrence algorithm is given for the calculation of NUAH B-splines in the space $S_{n+1}=$ span$\{\sinh t,$ $\cosh t,$ $t^{n-3}, \cdots,$ $t^2, t, 1\}$ $(n\ge 3)$. The case of NUAH B-spline bases of low order with multiple knot sequences is studied. The limiting cases of UAH B-splines are recovered when shape parameters $\alpha's \rightarrow 0^+ {\rm and} +\infty$. Then the corresponding NUAH B-spline curve is defined and its main properties such as shape-preserving properties are investigated. }, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/nm/8040.html} }