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2010 JENSEN'S FUNCTIONAL EQUATION IN MULTI-NORMED SPACES
M. S. Moslehian, H. M. Srivastava
Taiwanese J. Math. 14(2): 453-462 (2010). DOI: 10.11650/twjm/1500405801

Abstract

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.

Citation

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M. S. Moslehian. H. M. Srivastava. "JENSEN'S FUNCTIONAL EQUATION IN MULTI-NORMED SPACES." Taiwanese J. Math. 14 (2) 453 - 462, 2010. https://doi.org/10.11650/twjm/1500405801

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1204.39030
MathSciNet: MR2655781
Digital Object Identifier: 10.11650/twjm/1500405801

Subjects:
Primary: 39B82
Secondary: 39B52‎ , 46B99 , 47A99

Keywords: asymptotic behavior , Hyers-Ulam stability , Jensen's functional equation , multi-normed space

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 2 • 2010
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