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Citation - WoS: 36
Citation - Scopus: 40
On the Improvement of Analytic Properties Under the Limit Q-Bernstein Operator
(Academic Press inc Elsevier Science, 2006) Ostrovska, S
Let B-n(f, q; x), n = 1, 2,... be the q-Bernstein polynomials of a function f is an element of C[0, 1]. In the case 0 < q < 1, a sequence {B-n(f, q; x)} generates a positive linear operator B-infinity = B-infinity,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 Boo is studied. (c) 2005 Elsevier Inc. All rights reserved.
Citation - WoS: 3
Citation - Scopus: 3
On the Metric Space of the Limit q-bernstein Operators
(Taylor & Francis inc, 2019) Ostrovska, Sofiya; Turan, Mehmet
In this paper, some properties of uniformly discrete metric space are established. The metric rho comes out naturally in the evaluation of the distance between two limit q-Bernstein operators with respect to the operator norm on The exact value of this distance is found for all Furthermore, a number of properties of metric bases in M are presented alongside all possible isometries on M.