Functional equations and inequalities in matrix paranormed spaces

Choonkil Park, Jung Rye Lee, Dong Yun Shin

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

In this paper, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality, the Cauchy additive functional equation and the quadratic functional equation in matrix paranormed spaces.

Original languageEnglish
Article number547
JournalJournal of Inequalities and Applications
Volume2013
DOIs
StatePublished - 2013 Nov 1

Fingerprint

Additive Functional
Functional Inequalities
Cauchy
Functional equation
Quadratic Functional Equation
Hyers-Ulam Stability

Keywords

  • Functional equation
  • Functional inequality
  • Hyers-Ulam stability
  • Jordan-von Neumann functional equation
  • Matrix paranormed space
  • Operator space

Cite this

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title = "Functional equations and inequalities in matrix paranormed spaces",
abstract = "In this paper, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality, the Cauchy additive functional equation and the quadratic functional equation in matrix paranormed spaces.",
keywords = "Functional equation, Functional inequality, Hyers-Ulam stability, Jordan-von Neumann functional equation, Matrix paranormed space, Operator space",
author = "Choonkil Park and Lee, {Jung Rye} and Shin, {Dong Yun}",
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journal = "Journal of Inequalities and Applications",
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Functional equations and inequalities in matrix paranormed spaces. / Park, Choonkil; Lee, Jung Rye; Shin, Dong Yun.

In: Journal of Inequalities and Applications, Vol. 2013, 547, 01.11.2013.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Functional equations and inequalities in matrix paranormed spaces

AU - Park, Choonkil

AU - Lee, Jung Rye

AU - Shin, Dong Yun

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N2 - In this paper, we prove the Hyers-Ulam stability of the Cauchy additive functional inequality, the Cauchy additive functional equation and the quadratic functional equation in matrix paranormed spaces.

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KW - Functional equation

KW - Functional inequality

KW - Hyers-Ulam stability

KW - Jordan-von Neumann functional equation

KW - Matrix paranormed space

KW - Operator space

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U2 - 10.1186/1029-242X-2013-547

DO - 10.1186/1029-242X-2013-547

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VL - 2013

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