Two-radii theorem for solutions of some mean value equations
A description of solutions of some integral equations has been obtained. A two-radii theorem is obtained as well.
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Publications and source records attributed to Olga D. Trofimenko.
A description of solutions of some integral equations has been obtained. A two-radii theorem is obtained as well.
In the present paper a new mean value theorem for polynomials of special form is obtained. The case of sums on vertices of a regular polygon is studied. A criterion for a certain equation to be satisfied is obtained.