Direct and inverse theorems on approximation of functions defined on a sphere in the space <i>S </i><sup>(<i>p,q</i>)</sup>(σ<sup><i> m</i></sup>)

  • R. A. Lasuriya Абхаз. ун-т, Сухум

Abstract

We prove direct and inverse theorems on the approximation of functions defined on a sphere in the space S (p,q) m), m > 3, in terms of the best approximations and modules of continuity. We consider constructive characteristics of functional classes defined by majorants of modules of continuity of their elements.
Published
25.07.2007
How to Cite
LasuriyaR. A. “Direct and Inverse Theorems on Approximation of Functions Defined on a Sphere in the Space <i>S </i><sup>(<i>p,q</i>)</sup>(σ<sup><i> m</i></Sup&gt;)”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 7, July 2007, pp. 901-1, https://umj.imath.kiev.ua/index.php/umj/article/view/3355.
Section
Research articles