RATE OF CONVERGENCE OF BERNSTEIN POLYNOMIALS FOR FUNCTIONS WITH DERIVATIVES OF BOUNDED VARIATION

被引:71
作者
BOJANIC, R [1 ]
CHENG, F [1 ]
机构
[1] UNIV KENTUCKY,DEPT COMP SCI,LEXINGTON,KY 40506
关键词
D O I
10.1016/0022-247X(89)90211-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
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页码:136 / 151
页数:16
相关论文
共 8 条
[1]  
Bernstein S., 1912, COMM SOC MATH KHARKO, V13, P1
[2]  
BOJANIC R, 1959, ACAD SERVE SCI ARTS, V232, P59
[3]   ON THE RATE OF CONVERGENCE OF BERNSTEIN POLYNOMIALS OF FUNCTIONS OF BOUNDED VARIATION [J].
CHENG, F .
JOURNAL OF APPROXIMATION THEORY, 1983, 39 (03) :259-274
[4]  
Chlodovsky M. I., 1929, FUND MATH, V13, P62
[5]   THE BERNSTEIN POLYNOMIALS FOR DISCONTINUOUS FUNCTIONS [J].
HERZOG, F ;
HILL, JD .
AMERICAN JOURNAL OF MATHEMATICS, 1946, 68 (01) :109-124
[6]  
Lorentz G., 1953, BERNSTEIN POLYNOMIAL
[7]  
Popoviciu T., 1935, MATHEMATICA, V10, P49
[8]  
Sikkema P., 1961, NUMER MATH, V3, P107, DOI 10.1007/BF01386008