Abstract
We obtain asymptotic equalities for upper bounds of approximations of functions on the classes \(\hat C_{\beta ,\infty }^\psi\) and \(\hat L_{\beta ,1}^\psi\) by Abel-Poisson operators.
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Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 8, pp. 1097 – 1111, August, 2005.
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Kharkevych, Y.I., Zhyhallo, T.V. Approximation of (ψ, β)-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators. Ukr Math J 57, 1297–1315 (2005). https://doi.org/10.1007/s11253-005-0262-z
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DOI: https://doi.org/10.1007/s11253-005-0262-z