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doi: 10.2298/fil1709851d
handle: 20.500.12587/7128
In this paper we construct new integral type operators including heritable properties of Baskakov Durrmeyer and Baskakov Kantorovich operators. Results concerning convergence of these operators in weighted space and the hypergeometric form of the operators are shown. Voronovskaya type estimate of the pointwise convergence along with its quantitative version based on the weighted modulus of smoothness are given. Moreover, we give a direct approximation theorem for the operators in suitable weighted Lp space on [0,?).
Baskakov Durrmeyer operators, weighted approximation, Baskakov Kantorovich operators, Baskakov Kantorovich Operators, Approximation by positive operators, Approximation by operators (in particular, by integral operators), Rate of convergence, degree of approximation, Weighted approximation, Baskakov Durrmeyer Operators
Baskakov Durrmeyer operators, weighted approximation, Baskakov Kantorovich operators, Baskakov Kantorovich Operators, Approximation by positive operators, Approximation by operators (in particular, by integral operators), Rate of convergence, degree of approximation, Weighted approximation, Baskakov Durrmeyer Operators
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