On the Hyers-Ulam-Rassias stability of an n-dimensional pexiderized quadratic equation

Kil Woung Jun; Jae Hyeong Bae; Yang Hi Lee

doi:10.7153/mia-07-08

On the Hyers-Ulam-Rassias stability of an n-dimensional pexiderized quadratic equation

Kil Woung Jun, Jae Hyeong Bae, Yang Hi Lee

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

In this paper we prove the stability of an n-dimensional Pexiderized quadratic equation f₁ (Σ x_i) + Σ f _α(i,j) (x_i - x_j) = n Σ f _β(i)(x_i) in the spirits of Hyers, Ulam and Rassias.

Original language	English
Pages (from-to)	63-77
Number of pages	15
Journal	Mathematical Inequalities and Applications
Volume	7
Issue number	1
DOIs	https://doi.org/10.7153/mia-07-08
Publication status	Published - Jan 2004

Keywords

Hyers-Ulam-Rassias stability
Pexiderized Euler-Lagrange equation
Quadratic function

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10.7153/mia-07-08

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abstract = "In this paper we prove the stability of an n-dimensional Pexiderized quadratic equation f1 (Σ xi) + Σ f α(i,j) (xi - xj) = n Σ f β(i)(xi) in the spirits of Hyers, Ulam and Rassias.",

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AU - Lee, Yang Hi

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AB - In this paper we prove the stability of an n-dimensional Pexiderized quadratic equation f1 (Σ xi) + Σ f α(i,j) (xi - xj) = n Σ f β(i)(xi) in the spirits of Hyers, Ulam and Rassias.

KW - Hyers-Ulam-Rassias stability

KW - Pexiderized Euler-Lagrange equation

KW - Quadratic function

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On the Hyers-Ulam-Rassias stability of an n-dimensional pexiderized quadratic equation

Abstract

Keywords

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