Results 201 to 210 of about 14,240 (231)
A refinement of the variation diminishing property of Bézier curves [PDF]
For a given polynomial F(t)[email protected]?"i"="0^np"iB"i^n(t), expressed in the Bernstein basis over an interval [a,b], we prove that the number of real roots of F(t) in [a,b], counting multiplicities, does not exceed the sum of the number of real roots in [a,b] of the polynomial G(t)[email protected]?"i"="k^lp"iB"i"-"k^l^-^k(t) (counting ...
Rachid Ait-Haddou, Taishin Nomura
exaly +4 more sources
Variation diminishing property of densities of uniform generalized order statistics [PDF]
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Mariusz Bieniek, Bieniek Mariusz
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Interpolatory and variation-diminishing properties of generalized B-splines [PDF]
SynopsisWe consider classes of functions satisfying certain simple criteria of sign and smoothness and a decomposition property. It is known that these properties are possessed by Chebysheffian B-splines and it is shown here that they are also possessed by certain trigonometric B-splines. For such a class of functions, we derive a variation-diminishing
Goodman, T. N. T., Lee, S. L.
openaire +3 more sources

