JENSEN'S FUNCTIONAL EQUATION IN MULTI-NORMED SPACES

被引：7
作者：
Moslehian, M. S. [1 ,2 ,3 ]
Srivastava, H. M. [4 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Math, Mashhad 917751159, Iran
[2] CEAAS, Mashhad 917751159, Iran
[3] BMRG, Mashhad 917751159, Iran
[4] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Hyers-Ulam stability; Multi-normed space; Jensen's functional equation; Asymptotic behavior; ULAM-RASSIAS STABILITY;
D O I：
10.11650/twjm/1500405801
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the Hyers-Ulam stability of the Jensen functional equation for mappings from linear spaces into multi-normed spaces. We then establish an asymptotic behavior of the Jensen equation in the framework of multi-normed spaces which are somewhat similar to the operator sequence spaces and have some connections with operator spaces and Banach lattices.
引用
收藏
页码：453 / 462
页数：10
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