Additive function equation in fréchet spaces

Gang Lu, Yingxiu Jiang, Choonkil Park

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In this paper, we prove the Hyers-Ulam stability for the following additive functional equation f(x + y + z) = Nf(x + y/N)+ f(z) (0.1)in Fréchet spaces, where N is a fixed integer greater than 1.

Original languageEnglish
Pages (from-to)369-373
Number of pages5
JournalJournal of Computational Analysis and Applications
Volume15
Issue number2
StatePublished - 2013 May 3

Fingerprint

Additive Functional
Hyers-Ulam Stability
Additive Function
Functional equation
Integer

Keywords

  • Additive functional equation
  • Additive mapping
  • Fréechet space
  • Hyers-ulam stability

Cite this

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abstract = "In this paper, we prove the Hyers-Ulam stability for the following additive functional equation f(x + y + z) = Nf(x + y/N)+ f(z) (0.1)in Fr{\'e}chet spaces, where N is a fixed integer greater than 1.",
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Additive function equation in fréchet spaces. / Lu, Gang; Jiang, Yingxiu; Park, Choonkil.

In: Journal of Computational Analysis and Applications, Vol. 15, No. 2, 03.05.2013, p. 369-373.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Additive function equation in fréchet spaces

AU - Lu, Gang

AU - Jiang, Yingxiu

AU - Park, Choonkil

PY - 2013/5/3

Y1 - 2013/5/3

N2 - In this paper, we prove the Hyers-Ulam stability for the following additive functional equation f(x + y + z) = Nf(x + y/N)+ f(z) (0.1)in Fréchet spaces, where N is a fixed integer greater than 1.

AB - In this paper, we prove the Hyers-Ulam stability for the following additive functional equation f(x + y + z) = Nf(x + y/N)+ f(z) (0.1)in Fréchet spaces, where N is a fixed integer greater than 1.

KW - Additive functional equation

KW - Additive mapping

KW - Fréechet space

KW - Hyers-ulam stability

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