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with f : I → R an unknown mapping, I = {x ∈ R : 0 ≤ x ≤ 1}, R denoting the set of all real numbers; (p1, . . . , pn) ∈ Γn, (q1, . . . , qm) ∈ Γm; n = 1, 2, . . .; m = 1, 2, . . .; α and β being fixed positive real powers; 0 := 0, 0 := 0 and 1 := 1, 1 := 1. They found the continuous solutions of (1.1). Losonczi and Maksa ([3], p. 263) considered the functional equation (1.1) with f : I → R an unknown mapping, (p1, . . . , pn) ∈ Γn, (q1, . . . , qm) ∈ Γm; n ≥ 3 and m ≥ 2 being fixed integers; 1 6= α ∈ R, 1 6= β ∈ R; 0 := 0, 0 := 0; 1 := 1, 1 := 1; and they found the general solutions of (1.1) without imposing any regularity condition on the mapping f : I → R. The object of this paper is to determine the general solutions of the functional equation n ∑

On an equation related to nonadditive entropies in information theory