High order approximation of degree nine and order eighteen

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1 Citation (Scopus)


In this paper, a method to approximate curves by polynomials of degree nine is presented. The resulting approximation has order eighteen. The method is applied to approximate a circular arc, and the error function is studied and characterized, and its extrema and zeros are derived.

Original languageEnglish
Article number155
JournalJournal of Inequalities and Applications
Publication statusPublished - 2019
Externally publishedYes


  • Bézier curves
  • High order approximation
  • Nonic polynomials

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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