Approximation of the $\bar {\Psi}$ -integrals of functions defined on the real axis by Fourier operators

  • I. V. Sokolenko
  • O. I. Stepanets

Abstract

We find asymptotic formulas for the least upper bounds of the deviations of Fourier operators on classes of functions locally summable on the entire real axis and defined by $\bar {\Psi}$-integrals. On these classes, we also obtain asymptotic equalities for the upper bounds of functionals that characterize the simultaneous approximation of several functions.
Published
25.07.2004
How to Cite
SokolenkoI. V., and StepanetsO. I. “Approximation of the $\bar {\Psi}$ -Integrals of Functions Defined on the Real Axis by Fourier Operators”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, no. 7, July 2004, pp. 960–965, https://umj.imath.kiev.ua/index.php/umj/article/view/3812.
Section
Research articles