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- W1567124887 abstract "The uniform approximation of continuous functions of a real variable on intervals, through positive linear operators J is an active field of research at present. This study first surveys the various linear operators used in this connection, e.g. Operators of Bernstein, Szasz, Baskakov, Meyer-Konig and Zeller as well as those of Shah and Suryanarayana and the various results obtained from them. The asymptotic form of most of these approximating operators has been studied. These results are ?malogous to those obtained by Sikkema with regards to the Meyer-Konig and Zeller operator. Using the method of Shisha and Mond a quantitative estimation of the closeness of approximation of these operators is then obtained. Finally it is examined whether the derivatives of these operators approximate uniformly the corresponding derivatives of the function. It has been shown that for the Meyer-Konig and Zeller, Baskakov and Szasz operators, they have the property that the v^ derivative of a function can be approximated uniformly by the v derivative of the operator." @default.
- W1567124887 created "2016-06-24" @default.
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- W1567124887 date "1972-01-01" @default.
- W1567124887 modified "2023-09-27" @default.
- W1567124887 title "On the asymptotic behaviour and smoothness properties of some positive linear operators for the approximation of continuous functions" @default.
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