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Approximation by a generalization of the Jakimovski -Leviatan operators

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 degrree of convergence are established. Furthermore, we study the convergence of these operators in a weighted sp...

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Bibliographic Details
Published in:arXiv.org 2015-10
Main Authors: Didem Aydin Ari, Serenbay, Sevilay Kirci
Format: Article
Language:English
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Online Access:Get full text
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Summary: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 degrree of convergence are established. Furthermore, we study the convergence of these operators in a weighted space of functions on a positive semi-axis.
ISSN:2331-8422