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Approximation by a generalization of the Jakimovski-Leviatan operators

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In this paper, we introduce a Kantorovich type generalization of Jakimovski-Leviatan operators constructed by A. Jakimovski and D. Leviatan (1969) and the theorems on convergence and the degree of convergence… Click to show full abstract

In this paper, we introduce a Kantorovich type generalization of Jakimovski-Leviatan operators constructed by A. Jakimovski and D. Leviatan (1969) and the theorems on convergence and the degree of convergence are established. Furthermore, we study the convergence of these operators in a weighted space of functions on [0,1).

Keywords: leviatan operators; jakimovski; jakimovski leviatan; generalization jakimovski

Journal Title: Filomat
Year Published: 2019

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