On Jackson-Type Inequalities for Functions Defined on a Sphere

  • V. F. Babenko
  • V. G. Doronin
  • A. A. Ligun
  • A. A. Shumeiko

Abstract

We obtain exact estimates of the approximation in the metrics $C$ and $L_2$ of functions, that are defined on a sphere, by means of linear methods of summation of the Fourier series in spherical harmonics in the case where differential and difference properties of functions are defined in the space $L_2$.
Published
25.03.2005
How to Cite
BabenkoV. F., DoroninV. G., LigunA. A., and ShumeikoA. A. “On Jackson-Type Inequalities for Functions Defined on a Sphere”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, no. 3, Mar. 2005, pp. 291–304, https://umj.imath.kiev.ua/index.php/umj/article/view/3598.
Section
Research articles