2017
Том 69
№ 6

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Approximation of $(\psi, \beta)$-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators

Kharkevych Yu. I., Zhyhallo T. V.

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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.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 8, pp 1297-1315.

Citation Example: Kharkevych Yu. I., Zhyhallo T. V. Approximation of $(\psi, \beta)$-Differentiable Functions Defined on the Real Axis by Abel-Poisson Operators // Ukr. Mat. Zh. - 2005. - 57, № 8. - pp. 1097 – 1111.

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