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Scopus Q: Q3Subject: analytic function

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    Article
    Citation - WoS: 11
    Citation - Scopus: 15
    The q-versions of the Bernstein Operator: From Mere Analogies To Further Developments
    (Springer Basel Ag, 2016) Ostrovska, Sofiya
    The article exhibits a review of results on two popular q-versions of the Bernstein polynomials, namely, the LupaAY q-analogue and the q-Bernstein polynomials. Their similarities and distinctions are discussed.
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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.