@article{Lasuriya_2007, title={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>)}, volume={59}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3355}, abstractNote={We prove direct and inverse theorems on the approximation of functions defined on a sphere in the space <i>S </i><sup>(<i>p,q</i>)</sup>(&sigma;<sup><i> m</i></sup>), <i> m</i> &gt; 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.}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Lasuriya, R. A.}, year={2007}, month={Jul.}, pages={901-911} }