On a General Class of Linear and Positive Operators
نویسندگان
چکیده
Suppose that (Lm)m≥1 is a given sequence of linear and positive operators. Starting with the mentioned sequence, the new sequence (Km)m≥1 of linear and positive operators is constructed. For the operators (Km)m≥1 a convergence theorem and a Voronovskaja-type theorem are established. As particular cases of the general construction, we refined the Bernstein’s operators, the Stancu’s operators, the MirakyanFavard-Szasz operators, the Baskakov operators, the Bleimann-ButzerHahn operators, the Meyer-König-Zeller operators, the Ismail-May operators.
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