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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ON THE STABILITY OF A JENSEN TYPE FUNCTIONAL EQUATION IN MULTI-NORMED SPACES

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.2, pp.161-172
https://doi.org/10.7468/jksmeb.2011.18.2.161
Park, Kyoo-Hong
Jung, Yong-Soo

Abstract

In this paper we investigate the Hyers-Ulam stability of a Jensen type functional equation in multi-normed spaces and then extend the result to multi-normed left modules over a normed algebra A.

keywords
Hyers-Ulam stability, multi-normed space, multi-normed module, Popoviciu's functional equation

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics