Shape preserving properties of generalized Bernstein operators on Extended Chebyshev spaces
نویسندگان
چکیده
منابع مشابه
Shape preserving properties of generalized Bernstein operators on Extended Chebyshev spaces
We study the existence and shape preserving properties of a generalized Bernstein operator Bn fixing a strictly positive function f0, and a second function f1 such that f1/f0 is strictly increasing, within the framework of extended Chebyshev spaces Un. The first main result gives an inductive criterion for existence: suppose there exists a Bernstein operator Bn : C[a, b] → Un with strictly incr...
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ژورنال
عنوان ژورنال: Numerische Mathematik
سال: 2009
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-009-0248-0