2018
Том 70
№ 9

# I. Approximative properties of biharmonic Poisson integrals in the classes $W^r_{\beta} H^{\alpha}$

Abstract

We deduce asymptotic equalities for the least upper bounds of approximations of functions from the classes $W^r_{\beta} H^{\alpha}$, and $H^{\alpha}$ by biharmonic Poisson integrals in the uniform metric.

Citation Example: Kalchuk I. V., Kharkevych Yu. I. I. Approximative properties of biharmonic Poisson integrals in the classes $W^r_{\beta} H^{\alpha}$ // Ukr. Mat. Zh. - 2016. - 68, № 11. - pp. 1493-1504.