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Uniform estimates for monotonic polynomial approximation

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Abstract

The uniform estimate is established for a monotone polynomial approximation of functions whose smoothness decreases at the ends of a segment.

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References

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    I. A. Shevchuk, “Monotone polynomial approximation of monotone functions,”Mat. Sb.,183, No. 5, 63–78 (1992).

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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 38–43, January, 1993.

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Dzyubenko, G.A., Listopad, V.V. & Shevchuk, I.A. Uniform estimates for monotonic polynomial approximation. Ukr Math J 45, 40–47 (1993). https://doi.org/10.1007/BF01062036

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Keywords

  • Polynomial Approximation
  • Uniform Estimate
  • Monotone Polynomial Approximation