On the improvement of analytic properties under the limit q-Bernstein operator
نویسنده
چکیده
Let Bn(f, q; x), n = 1, 2, . . . be the q-Bernstein polynomials of a function f ∈ C[0, 1]. In the case 0<q < 1, a sequence {Bn(f, q; x)} generates a positive linear operator B∞ = B∞,q on C[0, 1], which is called the limit q-Bernstein operator. In this paper, a connection between the smoothness of a function f and the analytic properties of its image under B∞ is studied. © 2005 Elsevier Inc. All rights reserved. MSC: 41A10; 41A36; 30D20
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ورودعنوان ژورنال:
- Journal of Approximation Theory
دوره 138 شماره
صفحات -
تاریخ انتشار 2006