On the improvement of analytic properties under the limit q-Bernstein operator
- Ostrovska, Sofiya
Publication date
January 2006
DOI Publisher
Elsevier Inc. ISSN
0021-9045 Citation count (estimate)
36Abstract
AbstractLet 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
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