Title of article
Local smoothness of functions and Bernstein-Durrmeyer operators
Author/Authors
H. H. Gonska، نويسنده , , D. -X. Zhou، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 1995
Pages
19
From page
83
To page
101
Abstract
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.
Keywords
Local Lipschitz conditions , Bernstein-Durrmeyer operators , Singular detection , Kantorovich operators , Bernstein type operators
Journal title
Computers and Mathematics with Applications
Serial Year
1995
Journal title
Computers and Mathematics with Applications
Record number
917643
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