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

  • I. V. Kalchuk
  • Yu. I. Kharkevych

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.
Published
25.08.2007
How to Cite
KalchukI. V., and KharkevychY. I. “Asymptotics of the Values of Approximations in the Mean for Classes of Differentiable Functions by Using Biharmonic Poisson Integrals”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 8, Aug. 2007, pp. 1105–1115, https://umj.imath.kiev.ua/index.php/umj/article/view/3373.
Section
Research articles