Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1709491 | Applied Mathematics Letters | 2011 | 7 Pages |
Abstract
The present work aims to study the stability of the following three functional equations: (i) f(pr,qs)+f(ps,qr)=f(p,q)f(r,s), (ii) f(pr,qs)+f(ps,qr)=f(p,q)g(r,s), and (iii) f(pr,qs)+f(ps,qr)=g(p,q)f(r,s) for all p,q,r,s∈(0,1)p,q,r,s∈(0,1). The first functional equation arises in the characterization of symmetrically compositive sum form distance measures.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Gwang Hui Kim, Prasanna K. Sahoo,