Quantitative Voronovskaya type theorems for a general sequence of linear positive operators

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2019 Turkey English Publisher:National Library of SerbiaJournal:Filomat, volume 33, pages 2,507-2,518 (issn: 0354-5180, eissn: 2406-0933,

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Authors: Aral, Ali; Tachev, Gancho;

doi: 10.2298/fil1908507a

handle: 20.500.12587/7910

Quantitative Voronovskaya type theorems for a general sequence of linear positive operators

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Abstract

The present paper deal with the obtaining quantitative form of the results presented Butzer & Karsli [1]. That is, we prove quantitative simultaneous results by general sequence of positive linear operators which are valid for unbounded functions with polynomial growth. We present some applications of the general results by considering particular sequences of positive linear operators.

Country

Turkey

Related Organizations

Kırıkkale University
Turkey
University of Architecture, Civil Engineering and Geodesy
Bulgaria

Keywords

weighted modulus of continuity, Approximation by positive operators, Voronovskaya type theorems, Rate of convergence, degree of approximation, Voronovskaya-type theorems

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