[Authors] V. S. Kalnitsky [Title] Characterization of weighted integral means [AMS Subj-class] 39B22 Equations for real functions [Abstract] In present paper the intrinsic characterization of means admitting the solution of generalized Lagrange equation is given. This class coincides with special class of weighted integral means. The sufficiency of the condition obtained earlier by the author is proved. [Comments] English, 10 pp. [Contact e-mail] skalnitsky@hotmail.com