REFINED HYERS-ULAM STABILITY FOR JENSEN TYPE MAPPINGS

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Published: Feb 15, 2009
DOI: https://doi.org/10.14403/jcms.2009.22.1.101
Keywords:
Ulam stability problem, Jensen type mappings
Mathematics Subject Classification (2020):
Primary 39B82, Secondary 39B52

Main Article Content

John Michael Rassias
Pedagogical Department E.E., Section of Mathematics and Informatics
Juri Lee
Department of Mathematics, Chungnam National University
Hark-Mahn Kim
Department of Mathematics, Chungnam National University

Abstract





In 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the well-known Ulam stability problem for additive mappings subject to the Hyers condition on approximately additive mappings. In this paper we improve results for Jensen type mappings and establish new theorems about the Ulam stability of additive and alternative Jensen type mappings.





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Article Details

Issue
Vol. 22 No. 1 (2009)
Section
Articles