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  • 1 Institut de Mathématiques, Université de Toulouse III, 31062 Toulouse Cedex 9, France
  • 2 Department of Mathematics, Hanoi University of Education, 136 Xuan Thuy street, Cau Giay, Hanoi, Vietnam
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Abstract

We prove that Kergin interpolation polynomials and Hakopian interpolation polynomials at the points of a Leja sequence for the unit disk D of a sufficiently smooth function f in a neighbourhood of D converge uniformly to f on D. Moreover, when fC(D), all the derivatives of the interpolation polynomials converge uniformly to the corresponding derivatives of f.

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  • SJR Quartile Score (2019): Q2 Mathematics (miscellaneous)
  • Impact Factor (2018): 0.538
  • Scimago Journal Rank (2018): 0.488
  • SJR Hirsch-Index (2018): 36
  • SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

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