Stability of a Functional Equation Related to Distance Measures - Ii

نویسندگان

  • GWANG HUI KIM
  • PRASANNA K. SAHOO
چکیده

The present work continues the study of the stability of the functional equations of the type f(pr, qs) + f(ps, qr) = f(p, q) f(r, s) namely (i) f(pr, qs)+f(ps, qr) = g(p, q) g(r, s), and (ii) f(pr, qs)+f(ps, qr) = g(p, q) h(r, s) for all p, q, r, s ∈ G, where G is an abelian group. These functional equations arise in the characterization of symmetrically compositive sumform distance measures.

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تاریخ انتشار 2010