IJPAM: Volume 47, No. 1 (2008)

BEST SIMULTANEOUS APPROXIMATION ON
THE UNIT SPHERE

E. Aghdassi$^1$, S.F. Rzaev$^2$
$^1$Department of Mathematics
Faculty of Mathematical Sciences
University of Tabriz
Tabriz, IRAN
e-mail: esaghdassi@@tabrizu.ac.ir
$^2$Department of Mathematics
Khazar University
Baku, AZERBAIJAN
e-mail: rzseymur@hotmail.com


Abstract.In this paper, with the help of Laplace-Beltrami operator the best simultaneous approximation on the unit sphere is defined and some theorems analogue has been $2\pi$-periodical functions are proved.

Received: June 16, 2008

AMS Subject Classification: 41A10, 41A15, 41A25

Key Words and Phrases: space of Sobolev type, the best approximation, linear operators

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 47
Issue: 1