On a sum form functional equation emerging from statistics and its applications

In this paper, we obtain the general solutions of a sum form functional equation arising from the expected value of a discrete random variable. The significance of its general solutions in reference to entropies emerging from information theory and diversity index has been discussed.

Bibliographic Details
Main Author: Dhiraj Kumar Singh, Shveta Grover
Format: Article
Language:English
Published: Erdal KARAPINAR 2021-06-01
Series:Results in Nonlinear Analysis
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/1456008