TY - JOUR
T1 - Local Approximation by Modified Szász Operators
AU - Guo, Zhu-Rui
AU - Zhou, Ding-Xuan
PY - 1995/10/15
Y1 - 1995/10/15
N2 - The concept of locally Hölder continuous functions with exponent α (0 <α ≤ 1) on a subset E subset of [0, ∞) is defined. This definition includes the concepts of globally Hölder continuous functions and of locally Hölder continuous functions at one point. Then the local approximation by modified Szász operators is considered. The locally Hölder continuous functions with exponent α (0 <α <1) on any subset are characterized by the rate of local convergence of the modified Szász operators.
AB - The concept of locally Hölder continuous functions with exponent α (0 <α ≤ 1) on a subset E subset of [0, ∞) is defined. This definition includes the concepts of globally Hölder continuous functions and of locally Hölder continuous functions at one point. Then the local approximation by modified Szász operators is considered. The locally Hölder continuous functions with exponent α (0 <α <1) on any subset are characterized by the rate of local convergence of the modified Szász operators.
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U2 - 10.1006/jmaa.1995.1358
DO - 10.1006/jmaa.1995.1358
M3 - 21_Publication in refereed journal
VL - 195
SP - 323
EP - 334
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
SN - 0022-247X
IS - 2
ER -