TY - JOUR
T1 - Local smoothness of functions and Bernstein-Durrmeyer operators
AU - Gonska, H. H.
AU - Zhou, D. X.
PY - 1995/9
Y1 - 1995/9
N2 - Continuous functions satisfying a local Lipschitz condition of order α(0 <α <1) on any subset of [0, 1] are characterized by the local rate of convergence of Bernstein-Durrmeyer operators. As an application, we give an algorithm for singular detection. A new direct estimate for the approximation of continuous functions by Bernstein-Durrmeyer operators and Kantorovich operators is also presented. © 1995.
AB - Continuous functions satisfying a local Lipschitz condition of order α(0 <α <1) on any subset of [0, 1] are characterized by the local rate of convergence of Bernstein-Durrmeyer operators. As an application, we give an algorithm for singular detection. A new direct estimate for the approximation of continuous functions by Bernstein-Durrmeyer operators and Kantorovich operators is also presented. © 1995.
KW - Bernstein type operators
KW - Bernstein-Durrmeyer operators
KW - Kantorovich operators
KW - Local Lipschitz conditions
KW - Singular detection
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-58149323078&origin=recordpage
U2 - 10.1016/0898-1221(95)00088-7
DO - 10.1016/0898-1221(95)00088-7
M3 - 21_Publication in refereed journal
VL - 30
SP - 83
EP - 101
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
SN - 0898-1221
IS - 3-6
ER -