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Approximation of certain classes of differentiable functions by generalized splines

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Abstract

We find the exnet value of the best (α, β)-approximation by generalized Chebyshev splines for a class of functions differentiable with weight on [−1, 1].

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Authors
  1. O. V. Polyakov
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Additional information

Dnepropetrovsk University, Dnepropetrovsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 7, pp. 951–957, July, 1997.

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Polyakov, O.V. Approximation of certain classes of differentiable functions by generalized splines. Ukr Math J 49, 1067–1074 (1997). https://doi.org/10.1007/BF02528752

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  • DOI: https://doi.org/10.1007/BF02528752

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