On a functional equation on groups arising from the characterization of stochastic distance measures

被引:0
作者
Heather B. Hunt
Prasanna K. Sahoo
机构
[1] University of Louisville,Department of Mathematics
来源
Aequationes mathematicae | 2015年 / 89卷
关键词
39B52; Abelian function; bi-homomorphism; central function; divergence measure; functional equation; symmetric bi-homomorphism;
D O I
暂无
中图分类号
学科分类号
摘要
This work aims to determine all functions f,g,h,k:G→C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${f, g, h, k : G \to \mathbb{C}}$$\end{document} that satisfy the functional equation f(pr, qs) + g(ps, qr) =  h(p,q) +  k(r,s) for all p, q, r, s ∈G, where G is a group and C\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{C}}$$\end{document} is the field of complex numbers.
引用
收藏
页码:511 / 528
页数:17
相关论文
共 12 条
  • [1] Chung J.K.(1989)Measures of distance between probability distributions J. Math. Anal. Appl. 139 280-292
  • [2] Kannappan Pl.(1979)On some functional equations for the homomorphisms Bul. St. Inst. Polit. Cluj-Napoca Ser. Mat. Flz. Aec. Ap. 22 14-19
  • [3] Ng C.T.(1951)On information and sufficiency Ann. Math. Stat. 22 79-86
  • [4] Sahoo P.K.(1995)On a generalization of a functional equation associated with the distance between the probability distributions Publ. Math. Debrecen 46 125-135
  • [5] Corovei L.(1997)On two functional equations connected with the characterizations of the distance measures Aequationes Math. 54 242-263
  • [6] Kullback S.(1999)On a functional equation associated with stochastic distance measures Bull. Korean Math. Soc. 36 287-303
  • [7] Leibler R.A.(undefined)undefined undefined undefined undefined-undefined
  • [8] Riedel T.(undefined)undefined undefined undefined undefined-undefined
  • [9] Sahoo P.K.(undefined)undefined undefined undefined undefined-undefined
  • [10] Riedel T.(undefined)undefined undefined undefined undefined-undefined