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Approximation of continuous functions defined on the real axis by generalized Zygmund operators

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Abstract

We establish estimates for upper bounds of deviations of generalized Zygmund operators on the classes of continuous (ψ, β)-differentiable functions defined on the real axis.

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Authors and Affiliations

  1. Ukrainian University of Food Technologies, Kiev

    O. V. Ostrovskaya

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  1. O. V. Ostrovskaya
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 11, pp. 1505–1512, November, 1999.

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Ostrovskaya, O.V. Approximation of continuous functions defined on the real axis by generalized Zygmund operators. Ukr Math J 51, 1704–1712 (1999). https://doi.org/10.1007/BF02525273

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  • DOI: https://doi.org/10.1007/BF02525273

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