2017
Том 69
№ 9

All Issues

Approximation of functions defined on the real axis by operators generated by λ-methods of summation of their Fourier integrals

Kharkevych Yu. I., Zhyhallo T. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 9, pp 1509-1525.

Citation Example: Kharkevych Yu. 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. Mat. Zh. - 2004. - 56, № 9. - pp. 1267-1280.

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