2011
DOI: 10.1007/s10444-011-9242-z
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Variable degree polynomial splines are Chebyshev splines

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Cited by 20 publications
(27 citation statements)
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“…See the recent work [4] for a different and interesting approach of variable degree splines. More generally, in spline spaces of the form PQECS[1I, w 1 , .…”
Section: Starting From Generalised "Variable Degree" Spacesmentioning
confidence: 98%
“…See the recent work [4] for a different and interesting approach of variable degree splines. More generally, in spline spaces of the form PQECS[1I, w 1 , .…”
Section: Starting From Generalised "Variable Degree" Spacesmentioning
confidence: 98%
“…, t n−2 , (1 − t) p , t q } is a QEC-space for any real numbers p, q ≥ n − 1 and max(p, q) > n − 1, the dimension elevation process for the space was further studied via the blossom approach [33][34][35][36]. Recently, the totally positivity property of the variable degree polynomial spline basis was proved within the general framework of Canonical Complete Chebyshev (CCC)-space [37].…”
Section: Introductionmentioning
confidence: 99%
“…, } was studied via blossom theory; see [20][21][22][23]. Recently, in [24], the total positivity of the polynomial splines with variable degree was proved based on the theory of CCC-systems. The variable degree polynomial splines have been widely used for constructing shape preserving interpolation and approximation splines; see [25][26][27].…”
Section: Introductionmentioning
confidence: 99%