TY - JOUR
T1 - Characterization theorems for the approximation by a family of operators
AU - Mache, Detlef H.
AU - Zhou, Ding X.
PY - 1996/2
Y1 - 1996/2
N2 - The intention of this paper is to study a family of positive linear approximation operators relating to most of the well known Bernstein-type operators. These operators depend on a parameter. We give some characterization theorems to show that the operators corresponding to different parameters can be quite different. The direct and converse results make use of the Ditzian-Totik modulus of smoothness. © 1996 Academic Press, Inc.
AB - The intention of this paper is to study a family of positive linear approximation operators relating to most of the well known Bernstein-type operators. These operators depend on a parameter. We give some characterization theorems to show that the operators corresponding to different parameters can be quite different. The direct and converse results make use of the Ditzian-Totik modulus of smoothness. © 1996 Academic Press, Inc.
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U2 - 10.1006/jath.1996.0012
DO - 10.1006/jath.1996.0012
M3 - RGC 21 - Publication in refereed journal
SN - 0021-9045
VL - 84
SP - 145
EP - 161
JO - Journal of Approximation Theory
JF - Journal of Approximation Theory
IS - 2
ER -