A sum form functional equation on a closed domain and its role in information theory

P. Nath, D. K. Singh

This paper is devoted to finding the general solutions of the functional equation $\sumin \sumjm h(p_iq_j)=\sumin h(p_i)+\sumjm k_j(q_j)+λ\sumin h(p_i)\sumjm k_j(q_j)$ valid for al…