Additive functional inequalities in Banach spaces

作者：Lu Gang; Park Choonkil^*

来源：Journal of Inequalities and Applications, 2012, 294.

DOI：10.1186/1029-242X-2012-294

• Hyers-Ulam stability
• additive functional inequality
• additive mapping

In this paper, we prove the Hyers-Ulam stability of the following function inequalities: %26lt;br%26gt;parallel to f(x) + f(y) + f(z)parallel to %26lt;= parallel to Kf(x+y+z/K)parallel to (0 %26lt; vertical bar K vertical bar %26lt; 3), %26lt;br%26gt;parallel to f(x) + f(y) + Kf(z) %26lt;= parallel to Kf(x+y/K+z)parallel to (0 %26lt; K not equal 2) %26lt;br%26gt;in Banach spaces. MSC: Primary 39B62; 39B52; 46B25

• 出版日期2012
• 单位沈阳工业大学