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Bernstein type operators having 1 and x j as fixed points

100%

Finta Z.

Open Mathematics

2013

tom 11

nr 12

2257-2261

For certain generalized Bernstein operators {L n} we show that there exist no i, j ∈ {1, 2, 3,…}, i < j, such that the functions e i(x) = x i and e j (x) = x j are preserved by L n for each n = 1, 2,… But there exist infinitely many e i such that e 0(x) = 1 and e j (x) = x j are its fixed points.

Approximation properties of q-Baskakov operators

63%

Finta Z., Gupta V.

Open Mathematics

2010

tom 8

nr 1

199-211

We establish direct estimates for the q-Baskakov operator introduced by Aral and Gupta in [2], using the second order Ditzian-Totik modulus of smoothness. Furthermore, we define and study the limit q-Baskakov operator.

Ograniczanie wyników

2 Open Mathematics

2 Finta Z.

1 Gupta V.

1 2013

1 2010

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Bernstein type operators having 1 and x j as fixed points

Approximation properties of q-Baskakov operators