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• W2885301845 abstract "In this article we present the Durrmeyer variant of generalized Bernstein operators that preserve the constant functions involving non-negative parameter ?. We derive the approximation behaviour of these operators including global approximation theorem via Ditzian-Totik modulus of continuity, the order of convergence for the Lipschitz type space. Furthermore, we study a Voronovskaja type asymptotic formula and local approximation theorem by means of second order modulus of smoothness. Furthermore, we obtain the rate of approximation for absolutely continuous functions having a derivative equivalent with a function of bounded variation. In the last section of the article, we illustrate the convergence of these operators for certain functions using Maple software." @default.
• W2885301845 created "2018-08-22" @default.
• W2885301845 creator A5047660083 @default.
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• W2885301845 date "2018-08-06" @default.
• W2885301845 modified "2023-10-01" @default.
• W2885301845 title "Generalized Bernstein-Durrmeyer Operators of Blending Type" @default.
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• W2885301845 hasPublicationYear "2018" @default.
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