LP-INVERSE THEOREMS FOR BETA OPERATORS

被引:1
作者
ZHOU, DX [1 ]
机构
[1] ADV INST MATH,HANGZHOU,ZHEJIANG 310027,PEOPLES R CHINA
关键词
D O I
10.1016/0021-9045(91)90031-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we give the direct and inverse theorems for beta operators. Some other approximation properties of these operators are also given. © 1991.
引用
收藏
页码:279 / 287
页数:9
相关论文
共 20 条
[1]   GLOBAL APPROXIMATION THEOREM FOR MEYER-KONIG AND ZELLER OPERATORS [J].
BECKER, M ;
NESSEL, RJ .
MATHEMATISCHE ZEITSCHRIFT, 1978, 160 (03) :195-206
[2]  
Becker M., 1979, AEQUATIONES MATH, V19, P145, DOI [10.1007/BF02189862, DOI 10.1007/BF02189862]
[3]   INVERSE THEOREMS FOR BERNSTEIN POLYNOMIALS [J].
BERENS, H ;
LORENTZ, GG .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1972, 21 (08) :693-&
[4]   GLOBAL INVERSE THEOREM FOR COMBINATIONS OF BERNSTEIN POLYNOMIALS [J].
DITZIAN, Z .
JOURNAL OF APPROXIMATION THEORY, 1979, 26 (03) :277-292
[5]   BERNSTEIN-TYPE OPERATORS AND THEIR DERIVATIVES [J].
DITZIAN, Z ;
IVANOV, K .
JOURNAL OF APPROXIMATION THEORY, 1989, 56 (01) :72-90
[6]   RATE OF CONVERGENCE FOR BERNSTEIN POLYNOMIALS REVISITED [J].
DITZIAN, Z .
JOURNAL OF APPROXIMATION THEORY, 1987, 50 (01) :40-48
[7]   ON INTERPOLATION OF LP[A,B] AND WEIGHTED SOBOLEV SPACES [J].
DITZIAN, Z .
PACIFIC JOURNAL OF MATHEMATICS, 1980, 90 (02) :307-323
[8]   LP SATURATION AND INVERSE THEOREMS FOR MODIFIED BERNSTEIN POLYNOMIALS [J].
DITZIAN, Z ;
MAY, CP .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1976, 25 (08) :733-751
[9]  
Ditzian Z, 1987, SPRINGER SERIES COMP
[10]  
Grundmann A., 1978, Fourier Analysis and Approximation Theory, P395