Generalized Hyers-Ulam Stability of Quadratic Functional Inequality

Hark-Mahn Kim; Kil-Woung Jun; Eunyoung Son

doi:10.1155/2013/564923

Abstract and Applied Analysis (Jan 2013)

Generalized Hyers-Ulam Stability of Quadratic Functional Inequality

Hark-Mahn Kim,
Kil-Woung Jun,
Eunyoung Son

Affiliations

Hark-Mahn Kim: Department of Mathematics, Chungnam National University, 79 Daehangno, Yuseong-Gu, Daejeon 305-764, Republic of Korea
Kil-Woung Jun: Department of Mathematics, Chungnam National University, 79 Daehangno, Yuseong-Gu, Daejeon 305-764, Republic of Korea
Eunyoung Son: Department of Mathematics, Chungnam National University, 79 Daehangno, Yuseong-Gu, Daejeon 305-764, Republic of Korea

DOI: https://doi.org/10.1155/2013/564923
Journal volume & issue: Vol. 2013

Abstract

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We establish the general solution of the functional inequality and then investigate the generalized Hyers-Ulam stability of this inequality in Banach spaces and in non-Archimedean Banach spaces.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

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