Voronovskaja type theorem for the Lupaş q-analogue of the Bernstein operators

descriptionPublicationkeyboard_double_arrow_right Article 12 Jun 2012 Croatia English Publisher:Josip Juraj Strossmayer University of Osijek, Department of MathematicsJournal:Mathematical Communications, volume 17 (issn: 1331-0623, eissn: 1848-8013,

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Authors: Mahmudov, Nazim Idrisoglu; Sabancigil, Pembe;

handle: 11129/8341 , 11129/9755

Voronovskaja type theorem for the Lupaş q-analogue of the Bernstein operators

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Abstract

In this paper, we estimate the third and the fourth order central moments for the difference of the Lupaş q-analogue of the Bernstein operator and the limit q-Lupaş operator. We also prove a quantitative variant of Voronovskaja's theorem for $R_{n,q}$.

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Croatia

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Keywords

Limit q-lupaş, Lupas, q-Bernstein polynomials, limit q-Lupas, operator, Voronovskaja-type formulas, Lupaş, Operator, Voronovskajatype formulas, q-bernstein polynomials, q-analogue, Lupaş q-analogue, limit q-Lupaş operator

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