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Öğe Asymptotic expansions for Bernstein-Durrmeyer-Chlodovsky polynomials(Springer Basel Ag, 2018) Abel, Ulrich; Karslı, HarunWe define a Durrmeyer variant of the Bernstein-Chlodovsky polynomials and study its rate of convergence. The main result is a complete asymptotic expansion. As a special case we obtain a Voronovskaja-type formula.Öğe A complete asymptotic expansion for bernstein-chlodovsky polynomials for functions on R(Springer Basel Ag, 2020) Abel, Ulrich; Karslı, HarunWe consider a variant of the Bernstein-Chlodovsky polynomials approximating continuous functions on the entire real line and study its rate of convergence. The main result is a complete asymptotic expansion. As a special case we obtain a Voronovskaja-type formula previously derived by Karsli [11].