Osipcev Mikhail Anatolievich Russia Saratov State University, Russia, Saratov, Astrakhanskaya 83 senior professorOsipcevm@gmail.com Author's articles On an Approach to Approximate Solving of the Problem for the Best Approximation for Compact Body by a Ball of Fixed Radius On Functional Stability of the Solution for the Problem of Convex Body Best Approximating by a Ball with Fixed Radius The External Estimate of the Compact Set by Lebesgue Set of the Convex Function