Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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SOME RESULTS OF THE CARATHÉODORY'S INEQUALITY AT THE BOUNDARY

  • Received : 2017.09.06
  • Accepted : 2018.02.01
  • Published : 2018.10.31
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Abstract

In this paper, a boundary version of the $Carath{\acute{e}}odory^{\prime}s$ inequality is investigated. We shall give an estimate below ${\mid}f^{\prime}(b){\mid}$ according to the first nonzero Taylor coefficient of about two zeros, namely z = 0 and $z_1{\neq}0$. The sharpness of these estimates is also proved.

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References

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