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- W2103194613 abstract "1. IntroductionAlong with the prevalence of probabilistic methods in approximation theory the study of approximation of operators by other operator sequences, or the study of limiting properties of operator sequences, has attracted more and more attention. It was shown by Stancu [15] in the 1960s that Szasz operators and Baskakov operators are limiting operators of Stancu–Muhlbach operator sequences in an appropriate sense. Later, Butzer and Hahn [4, 5, 11] established rates of convergence of some probabilistic type operators towards their limiting operators as applications of their general approximation theorems in probability theory. In 1988, Khan [13] proved that Szasz operators are limiting operators of Bleimann–Butzer–Hahn operator sequences. Recently de la Cal, Luquin, Adell and San Miguel investigated the limiting properties of a series of probabilistic type operator sequences and exhibited that their limiting operators might be Bernstein, Szasz, Baskakov, gamma or beta operators [1, 2, 6, 7, 8]." @default.
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- W2103194613 date "1997-05-01" @default.
- W2103194613 modified "2023-09-27" @default.
- W2103194613 title "Limiting operators for some operator sequences of probabilistic type" @default.
- W2103194613 doi "https://doi.org/10.1017/s030500419600151x" @default.
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