Abstract
We obtain asymptotic equalities for upper bounds of the deviations of operators generated by λ-methods (defined by a collection Λ={λσ(·)} of functions continuous on [0; ∞) and depending on a real parameter σ) on classes of (ψ, β)-differentiable functions defined on the real axis.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 9, pp. 1267–1280, September, 2004.
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Kharkevych, Y.I., Zhyhallo, T.V. Approximation of functions defined on the real axis by operators generated by λ-methods of summation of their Fourier integrals. Ukr Math J 56, 1509–1525 (2004). https://doi.org/10.1007/s11253-005-0130-x
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DOI: https://doi.org/10.1007/s11253-005-0130-x