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Approximation of (ψ, β)-differentiable functions by Weierstrass integrals

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Abstract

We obtain asymptotic equalities for upper bounds of approximations of functions from the classes C β, ∞ ψ and L β, 1 ψ by Weierstrass integrals.

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Authors and Affiliations

  1. Volyn’ University, Luts’k

    Yu. I. Kharkevych & I. V. Kal’chuk

Authors
  1. Yu. I. Kharkevych
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  2. I. V. Kal’chuk
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 7, pp. 953–978, July, 2007.

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Kharkevych, Y.I., Kal’chuk, I.V. Approximation of (ψ, β)-differentiable functions by Weierstrass integrals. Ukr Math J 59, 1059–1087 (2007). https://doi.org/10.1007/s11253-007-0069-1

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  • DOI: https://doi.org/10.1007/s11253-007-0069-1

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