On the Bernstein Constants of Polynomial Approximation
نویسندگان
چکیده
منابع مشابه
On some constants in approximation by Bernstein operators
We estimate the constants sup x∈(0,1) sup f∈C[0,1]\Π1 |Bn(f,x)−f(x)| ω2 f, x(1−x) n and inf x∈(0,1) sup f∈C[0,1]\Π1 |Bn(f,x)−f(x)| ω2 f, x(1−x) n , where Bn is the Bernstein operator of degree n and ω2 is the second order modulus of continuity. 2000 Mathematical Subject Classification: 41A36, 41A10, 41A25,
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2006
ISSN: 0176-4276,1432-0940
DOI: 10.1007/s00365-005-0626-5