A GENERALIZED ADDITIVE FUNCTIONAL INEQUALITY IN BANACH SPACES

Park, Choonkil; Lu, Gang; Shin, Dong Yun

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A GENERALIZED ADDITIVE FUNCTIONAL INEQUALITY IN BANACH SPACES

Park, Choonkil;
Lu, Gang;
Shin, Dong Yun

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초록

In this paper, we investigate the Hyers-Ulam stability of the following function inequality parallel to af(x) + bf(y) + cf(z)parallel to <= parallel to f(alpha x + beta y + gamma z)parallel to (1 <vertical bar a + b + c vertical bar) in Banach spaces.

키워드

Hyers-Ulam stability; additive functional inequality; Banach space; additive mapping; APPROXIMATELY LINEAR MAPPINGS; STABILITY; DERIVATIONS; EQUATION; HOMOMORPHISMS

제목: A GENERALIZED ADDITIVE FUNCTIONAL INEQUALITY IN BANACH SPACES

저자: Park, Choonkil; Lu, Gang; Shin, Dong Yun

발행일: 2014-05

유형: Article

저널명: Journal of Computational Analysis and Applications

권: 16

호: 4

페이지: 654 ~ 660