Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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APPROXIMATION BY INTERPOLATING POLYNOMIALS IN SMIRNOV-ORLICZ CLASS

  • Akgun Ramazan (Department of Mathematics Faculty of Art-Science Balikesir University) ;
  • Israfilov Daniyal M. (Department of Mathematics Faculty of Art-Science Balikesir University)
  • Published : 2006.03.01
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Abstract

Let $\Gamma$ be a bounded rotation (BR) curve without cusps in the complex plane $\mathbb{C}$ and let G := int $\Gamma$. We prove that the rate of convergence of the interpolating polynomials based on the zeros of the Faber polynomials $F_n\;for\;\bar G$ to the function of the reflexive Smirnov-Orlicz class $E_M (G)$ is equivalent to the best approximating polynomial rate in $E_M (G)$.

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References

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  2. Approximating Polynomials for Functions of Weighted Smirnov-Orlicz Spaces vol.2012, 2012, https://doi.org/10.1155/2012/982360
  3. On approximation in weighted Smirnov–Orlicz classes vol.57, pp.5, 2012, https://doi.org/10.1080/17476933.2010.551194
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