On a functional equation related to some entropies in information theory. (3rd April 2018)

• Record Type: Journal Article
• Authors: Singh, Dhiraj Kumar; Dass, Pranav
• Is Part Of: Journal of discrete mathematical sciences & cryptography. Volume 21:Number 3(2018)
• Page Start: 713
• Page End: 726
• Publication Date: 2018-04-03
• Subjects: (2010) 39B22 -- 39B52; Functional equation -- Additive mapping -- Multiplicative mapping; Computer science -- Mathematics -- Periodicals; Cryptography -- Periodicals; Computer science -- Mathematics; Cryptography; Periodicals; 004.0151
• DOI: 10.1080/09720529.2018.1445809
• Languages: English
• ISSNs: 0972-0529

Abstract

Abstract: The general solutions of the functional equation in which f, g, h are real-valued mappings each with domain I = [0, 1]; ( p 1, … , pn ) ∈ Г n, ( q 1, … , qm ) ∈ Г m ; n ≥ 3, m ≥ 3 being fixed integers; α > 0, α ≠ 1, α ∈ ℝ; have been obtained. Some of the solutions are related to entropies of degree α ; entropies of degree ( α, β ); and to Gini-Simpson index.