On the Ulam-Hyers stability of a quadratic functional equation

Sang Baek Lee; Won Gil Park; Jae Hyeong Bae

doi:10.1186/1029-242X-2011-79

On the Ulam-Hyers stability of a quadratic functional equation

Sang Baek Lee
, Won Gil Park
, Jae Hyeong Bae

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

3 Citations (Scopus)

Abstract

The Ulam-Hyers stability problems of the following quadratic equation r ²f (x + y/r) + r ²f (x - y/r) = 2f (x) + 2f (y), where r is a nonzero rational number, shall be treated. The case r = 2 was introduced by J. M. Rassias in 1999. Furthermore, we prove the stability of the quadratic equation by using the fixed point method.

Original language	English
Article number	79
Journal	Journal of Inequalities and Applications
Volume	2011
DOIs	https://doi.org/10.1186/1029-242X-2011-79
Publication status	Published - 2011

Keywords

Hyers-Ulam stability
Quadratic function

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10.1186/1029-242X-2011-79

Cite this

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title = "On the Ulam-Hyers stability of a quadratic functional equation",

abstract = "The Ulam-Hyers stability problems of the following quadratic equation r 2f (x + y/r) + r 2f (x - y/r) = 2f (x) + 2f (y), where r is a nonzero rational number, shall be treated. The case r = 2 was introduced by J. M. Rassias in 1999. Furthermore, we prove the stability of the quadratic equation by using the fixed point method.",

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AB - The Ulam-Hyers stability problems of the following quadratic equation r 2f (x + y/r) + r 2f (x - y/r) = 2f (x) + 2f (y), where r is a nonzero rational number, shall be treated. The case r = 2 was introduced by J. M. Rassias in 1999. Furthermore, we prove the stability of the quadratic equation by using the fixed point method.

KW - Hyers-Ulam stability

KW - Quadratic function

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DO - 10.1186/1029-242X-2011-79

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JO - Journal of Inequalities and Applications

JF - Journal of Inequalities and Applications

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ER -

On the Ulam-Hyers stability of a quadratic functional equation

Abstract

Keywords

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