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Application of divided differences to the study of monotonicity of the derivatives of the sequence of Bernstein polynomials

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Publication:1139754
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DOI10.1007/BF02576641zbMath0434.41007MaRDI QIDQ1139754

D. D. Stancu

Publication date: 1979

Published in: Calcolo (Search for Journal in Brave)


zbMATH Keywords

Bernstein polynomialsdivided differences


Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)


Related Items (1)

On the Remainder Term of Some Bivariate Approximation Formulas Based on Linear and Positive Operators




Cites Work

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  • On the monotonicity of the sequence formed by the first order derivatives of the Bernstein polynomials
  • Stieltjes integral representation of convex functions
  • Bernstein-Bézier Methods for the Computer-Aided Design of Free-Form Curves and Surfaces
  • The Remainder of Certain Linear Approximation Formulas in Two Variables
  • Interactive Interpolation and Approximation by Bezier Polynomials




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