ADDITIVE FUNCTIONAL INEQUALITIES IN GENERALIZED QUASI-BANACH SPACES

作者：Li, Lexin; Lu, Gang; Park, Choonkil; Shin, Dong Yun^*

来源：Journal of Computational Analysis and Applications, 2013, 15(6): 1165-1175.

• Hyers-Ulam stability
• additive functional inequality
• generalized quasi-Banach space
• additive mapping

In this paper, we investigate the Hyers-Ulam stability of the following function inequalities
parallel to af(x) + bf(y) + cf(z)parallel to <= parallel to Kf (ax + by + cz)/K parallel to (0 < vertical bar K vertical bar < vertical bar a + b + c vertical bar),
parallel to af(x) + bf(y) + Kf(z)parallel to <= parallel to Kf (ax + by/K + z)parallel to (0 < K < vertical bar a + b + K vertical bar),
in generalized quasi-Banach spaces.

• 出版日期2013-10
• 单位沈阳工业大学; 沈阳理工大学