On the stability of a sum form functional equation related to entropies of type (α,β)

Dhiraj Kumar Singh, Shveta Grover
2020 Journal of Nonlinear Science and its Applications  
In this paper, we discuss the stability of the sum form functional equation for all complete probability distributions (p 1 , . . . , p n ) ∈ Γ n , (q 1 , . . . , q m ) ∈ Γ m , n 3, m 3 are fixed integers, f, g are real valued mappings each having the domain I = [0, 1] and β is a fixed positive real power such that β = 1, 0 β := 0, 1 β := 1.
doi:10.22436/jnsa.014.03.06 fatcat:img26qcfo5dm5ocilgw6mkgugm