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

页码：453 / 462

页数：10

共 19 条

[1]

[Anonymous], 1964, PROBLEMS MODERN MATH

[2]

[Anonymous], 1998, Stability of Functional Equations in Several Variables

[3]

Aoki T., 1950, J. Math. Soc. Japan, V2, P64

[4] Generalized Jensen's equations in Banach modules over a C*-algebra and its unitary group [J].

Boo, DH ;

Oh, SQ ;

Park, CG ;

Park, JM .

TAIWANESE JOURNAL OF MATHEMATICS, 2003, 7 (04) :641-655

[5]

Czerwik Stefan, 2002, Functional Equations and Inequalities in Several Variables, P4

[6] Stability of mappings on multi-normed spaces [J].

Dales, H. G. ;

Moslehian, Mohammad Sal .

GLASGOW MATHEMATICAL JOURNAL, 2007, 49 :321-332

[7]

DALES HG, 2008, MULTINORMED SPACES M

[8] On the stability of Jensen's functional equation on groups [J].

Faiziev, Valerii A. ;

Sahoo, Prasanna K. .

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2007, 117 (01) :31-48

[9] On the stability of the linear functional equation [J].

Hyers, DH .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 :222-224

[10]

Jung S.M., 2001, Hyers-Ulam-Rassias Stability of Functional Equations in Mathematical Analysis

← 1 2 →