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Stability of some functional equations related to distance measures—I

✍ Scribed by Gwang Hui Kim; Prasanna K. Sahoo

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
225 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

a b s t r a c t

The present work aims to study the stability of the following three functional equations: (r, s), and (iii) f (pr, qs) + f (ps, qr) = g(p, q) f (r, s) for all p, q, r, s ∈ (0, 1). The first functional equation arises in the characterization of symmetrically compositive sum form distance measures.

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