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Publisher: Springer HeidelbergSubject: uniform convergence

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    Article
    Citation - WoS: 15
    Citation - Scopus: 18
    The Sharpness of Convergence Results for q-bernstein Polynomials in The Case q > 1
    (Springer Heidelberg, 2008) Ostrovska, Sofiya
    Due to the fact that in the case q > 1 the q-Bernstein polynomials are no longer positive linear operators on C[0, 1], the study of their convergence properties turns out to be essentially more difficult than that for q 1. In this paper, new saturation theorems related to the convergence of q-Bernstein polynomials in the case q > 1 are proved.