On approximation properties of some non-positive Bernstein-Durrmeyer type operators

Autor: Vasian Bianca Ioana
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 1, Pp 251-269 (2023)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2023-0014
Popis: In this paper we shall introduce a new type of Bernstein Durrmeyer operators which are not positive on the entire interval [0, 1]. For these operators we will study the uniform convergence on all continuous functions on [0, 1] as well as a result given in terms of modulus of continuity ω(f, δ). A Voronovskaja type theorem will be proved as well.
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