On Jackson-Type Inequalities for Functions Defined on a Sphere

Authors

  • 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 L2 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 L2.

Published

25.03.2005

Issue

Section

Research articles

How to Cite

Babenko, V. F., et al. “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.