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Negative results in coconvex approximation of periodic functions

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Publication:2037066
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DOI10.1016/j.jat.2021.105582zbMath1467.42001OpenAlexW3153913422MaRDI QIDQ2037066

G. A. Dzyubenko, Victoria Voloshyna, Lyudmyla Yushchenko

Publication date: 30 June 2021

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2021.105582


zbMATH Keywords

shape preserving approximationtrigonometric polynomialJackson polynomial


Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation with constraints (41A29) Trigonometric polynomials, inequalities, extremal problems (42A05)


Related Items (3)

The order of comonotone approximation of differentiable periodic functions ⋮ Coconvex approximation of periodic functions ⋮ Comonotone approximation of periodic functions



Cites Work

  • Piecewise monotone pointwise approximation
  • Comonotone Jackson's inequality
  • Coconvex polynomial approximation
  • Degree of approximation by monotone polynomials. I
  • Comonotone approximation of twice differentiable periodic functions
  • Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials
  • Coconvex approximation of periodic functions
  • Unnamed Item
  • Unnamed Item


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