Approximation by Jakimovski–Leviatan-beta operators in weighted space
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DOI: 10.1186/s13662-020-02848-x
Abstract: The main purpose of this article is to introduce a more generalized version of Jakimovski–Leviatan-beta operators through the Appell polynomials. We present some uniform convergence results of these operators via Korovkin’s theorem and obtain the… read more here.
Keywords: beta operators; approximation jakimovski; leviatan beta; jakimovski leviatan ... See more keywords
Approximation by a generalization of the Jakimovski-Leviatan operators
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DOI: 10.2298/fil1908345a
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… read more here.
Keywords: leviatan operators; jakimovski; jakimovski leviatan; generalization jakimovski ... See more keywords
Jakimovski-Leviatan operators of Durrmeyer type involving Appell polynomials
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DOI: 10.3906/mat-1708-6
Abstract: The purpose of the present paper is to establish the rate of convergence for a Lipschitz-type space and obtain the degree of approximation in terms of Lipschitz-type maximal function for the Durrmeyer type modification of… read more here.
Keywords: durrmeyer type; leviatan operators; jakimovski leviatan; type ... See more keywords