On Jackson-Type Inequalities for Functions Defined on a Sphere |
| |
| Authors: | V F Babenko V G Doronin A A Ligun A A Shumeiko |
| |
| Institution: | (1) Dnepropetrovsk National University, Dnepropetrovsk, Ukraine;(2) Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk, Ukraine;(3) Dneprodzerzhinsk Technical University, Dneprodzerzhinsk, Ukraine |
| |
| Abstract: | We obtain exact estimates for the approximation of functions defined on a sphere in the metrics of C and L
2 by linear methods of summation of Fourier series in spherical harmonics in the case where differential and difference properties
of these functions are defined in the space L
2.
__________
Translated from Ukrains'kyi Matematychnyi Zhurnal, Vol. 57, No. 3, pp. 291–304, March, 2005. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
