2017
Том 69
№ 9

All Issues

Asymptotics of the values of approximations in the mean for classes of differentiable functions by using biharmonic Poisson integrals

Kalchuk I. V., Kharkevych Yu. I.

Full text (.pdf)


Abstract

Complete asymptotic decompositions are obtained for values of exact upper bounds of approximations of functions from the classes $W^r_1,\quad r \in N,$ and WJr, $\overline{W}^r_1,\quad r \in N\backslash\{1\}$, by their biharmonic Poisson integrals.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 8, pp 1224-1237.

Citation Example: Kalchuk I. V., Kharkevych Yu. I. Asymptotics of the values of approximations in the mean for classes of differentiable functions by using biharmonic Poisson integrals // Ukr. Mat. Zh. - 2007. - 59, № 8. - pp. 1105–1115.

Full text