On the rates of convergence of certain bivariate linear positive operators

• Autorzy: Olgun A , Taşdelen F.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we present a sequence of linear positive bivariate operators and investigate the approximation properties of them. Next we study the rates of converge of this approximation by means modulus of continuity and functions from Lipschitz class. After we give a Voronovskaya type theorem for n Morever, we give an r th order generalization of these operators. Finally, we investigate approximation properties of this generalization and observe the rates of convergence for them.

Słowa kluczowe

EN

linear positive operator; modulus of continuity; order of approximation; Voronovskaya type theorem; Kantorovich operators; Beta operators

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2014
• Tom: Nr 52
• Strony: 117--129
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Olgun A

• Department of Mathematics Faculty of Science and Arts Kirikkale University 71450, Yahşihan /Kirikkale, Turkey

autor

Taşdelen F.

• Department of Mathematics Faculty of Science and Ankara University 06100, Tandogan/Ankara, Turkey

Bibliografia

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