IJPAM: Volume 98, No. 1 (2015)

GENERALIZED HYERS-ULAM STABILITY OF
REFINED QUADRATIC FUNCTIONAL EQUATIONS

Hark-Mahn Kim$^1$, Hwan-Yong Shin$^2$
$^{1,2}$Department of Mathematics
Chungnam National University
Daejeon 305-764, REPUBLIC OF KOREA


Abstract. In this paper, we give a general solution of a refined quadratic functional equation and then investigate its generalized Hyers-Ulam stability in quasi-normed spaces and in non-Archimedean normed spaces.

Received: August 28, 2014

AMS Subject Classification: 39B82, 39B62

Key Words and Phrases: quasi-normed spaces, $p$-normed spaces, non-Archimedean normed spaces

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DOI: 10.12732/ijpam.v98i1.7 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 98
Issue: 1
Pages: 65 - 79


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