on q-Baskakov type operators

• Autorzy: Aral A. , Gupta V.
• Języki publikacji: EN

Abstrakty

EN

In the present paper we introduce two q-analogous of the well known Baskakoy operators. For the first operator we obtain convergence property on bounded interval. Then we give the montonity on the sequence of q-Baskakov operators for n when the function f is convex. For second operator, we obtain direct approximation property on unbounded interval and estimate the rate of convergence. One can say that, depending on the selection of q, these operators are more flexible then the classical Baskakov operators while retaining their approximation properties.

Słowa kluczowe

EN

Baskakov operators; Bernstein polynomials

PL

operatory Baskakova; wielomiany Bernsteina

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2009
• Tom: Vol. 42, nr 1
• Strony: 109--122
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Aral A.

autor

Gupta V.

• Faculty of Science and Arts Department of Mathematics Kirikkale University Yahihan, Kirikkale, Turkey,

Bibliografia

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