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Citation - WoS: 7
Citation - Scopus: 7
On the q-bernstein Polynomials of Unbounded Functions With q > 1
(Hindawi Ltd, 2013) Ostrovska, Sofiya; Ozban, Ahmet Yasar
The aim of this paper is to present new results related to the q-Bernstein polynomials B-n,B-q (f;x) of unbounded functions in the case q > 1 and to illustrate those results using numerical examples. As a model, the behavior of polynomials B-n,B-q (f;x) is examined both theoretically and numerically in detail for functions on [0, 1] satisfying f(x) similar to Kx(-alpha) as x -> 0(+), where alpha > 0 and K not equal 0 are real numbers.