摘要
设ω(x)是[0,1]上的上凸连续模函数,记∧_∞(A)={f∈c[O,1]:ω(f,x)≤Aω(x)},木文得到f∈A_∞(A)L_n(f)∈∧_ω(A),其中L_n表示Bernstein算子或Bernstein-Kantorovic算子。
In this paper we obtain the following results:f∈∧.(A)L_n(f)∈∧.(A),there Ln(f) are the Bernstein operators or Bernstein-Kantorovi c operators,ω(x) is any convex modulus of Con- tinuity,∧.(A)={f∈C[0,1];ω(f;x)≤Aω(x)}.
关键词
B-K算子
伯恩斯坦算子
上凸连续模
Bernstein-Kantorovic operators
convex modulus of continuity
class ∧_ω(A)
