Abstract
We obtain asymptotic equalities for the upper bounds of approximations by Weierstrass operators on the functional classes \(\hat C_{\beta ,\infty }^\psi \) and \(\hat L_{\beta ,1}^\psi \) in the metrics of the spaces Ĉ and \(\hat L_1 \) respectively.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 9, pp. 1201–1220, September, 2007.
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Kal’chuk, I.V. Approximation of (ψ, β)-differentiable functions defined on the real axis by Weierstrass operators. Ukr Math J 59, 1342–1363 (2007). https://doi.org/10.1007/s11253-007-0091-3
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DOI: https://doi.org/10.1007/s11253-007-0091-3