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Original Articles

Markov's inequality on compact sets and Lagrange interpolation

Pages 613-622 | Received 19 Sep 2008, Accepted 07 Nov 2008, Published online: 22 Sep 2010

References

  • Plésniak , W . 1998 . “ Recent progress in multivariate Markov inequality ” . In Approximation Theory , Edited by: Govil , NK , Mohapatra , RN , Nashed , Z , Sharma , A and Szabados , J . New York/Basel/Hong Kong : Marcel Dekker .
  • Białas , L and Volberg , A . 1993 . Markov's property of the Cantor ternary set . Studia Math. , 104 : 259 – 268 .
  • Lithner , J . 1994 . Comparing two versions of Markov's inequality on compact sets . J. Approx. Th. , 77 : 202 – 211 .
  • Goncharov , A . 2006 . Bases in the spaces of C∞–Functions on Cantor-type sets . Const. Approx. , 23 : 351 – 360 .
  • Pommerenke , C . 1982 . Uniformly perfect sets and the Poincaré metric . Arch. Math. , 31 : 449 – 461 .
  • Jonsson , A , Sjögren , P and Wallin , H . 1984 . Hardy and Lipschitz spaces on subsets of ℝn . Studia Math. , 80 : 141 – 166 .
  • Lithner , J . 1993 . Two versions of Markov's inequality, Doctoral thesis , Umeå : Department of Mathematics, University of Umeå .
  • Jonsson , A and Wallin , H . 1984 . “ Function Spaces on Subsets of R n ” . In Mathematical Reports , London : Harwood Academic . Vol. 2, Part 1

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