2019
Том 71
№ 11

All Issues

Approximation of solutions of operator-differential equations by operator polynomials

Kashpirovskii A. I., Mytnik Yu. V.

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Abstract

We prove theorems that characterize the classes of functions whose best approximations by algebraic polynomials tend to zero with given order. We construct approximations of solutions of operator-differential equations by polynomials in the inverse operator.

English version (Springer): Ukrainian Mathematical Journal 50 (1998), no. 11, pp 1719-1730.

Citation Example: Kashpirovskii A. I., Mytnik Yu. V. Approximation of solutions of operator-differential equations by operator polynomials // Ukr. Mat. Zh. - 1998. - 50, № 11. - pp. 1506–1516.

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