Generalized Hyers-Ulam Stability of the Pexider Functional Equation

Lee, Yang‐Hi; Kim, Gwang Hui

doi:10.3390/math7030280

Cited by 2 publications

(2 citation statements)

References 12 publications

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“…Hyers theorem was generalized by Aoki [3] for additive mappings and Rassias [12] for quadratic mappings. During the last three decades the stability theorem of Rassias [26] provided a lot of influence for the development of stability theory of a large variety of functional equations (see [1,2,4,7,9,11,14,17,18,21,22,23,27]). One of the most famous functional equations is the following additive functional equation g(x + y) = g(x) + g(y)…”

Section: Introductionmentioning

confidence: 99%

Hyers–Ulam Stability of an Additive-Quadratic Functional Equation

Lee

Park

Rassias

2022

Approximation and Computation in Science and Engineering

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In this paper, we introduce the following (a, b, c)-mixed type functional equation of the formwhere a, b, c are positive integers with a > 1, and investigate the solution and the Hyers-Ulam stability of the above functional equation in Banach spaces by using two different methods. RESUMENEn este artículo introducimos la siguiente ecuación funcional de tipo (a, b, c)-mixta de la formadonde a, b, c son enteros positivos con a > 1, e investigamos la solución y la estabilidad de Hyers-Ulam de la ecuación funcional anterior en espacios de Banach usando dos métodos diferentes.

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Section: Introductionmentioning

confidence: 99%

Hyers–Ulam Stability of an Additive-Quadratic Functional Equation

Lee

Park

Rassias

2022

Approximation and Computation in Science and Engineering

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Section: Introductionmentioning

confidence: 99%

Hyers-Ulam stability of an additive-quadratic functional equation

Govindan

Park

Pinelas

et al. 2020

Cubo

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In this paper, we introduce the following (a, b, c)-mixed type functional equation of thewhere a, b, c are positive integers with a > 1, and investigate the solution and the Hyers-Ulam stability of the above functional equation in Banach spaces by using two different methods. RESUMENEn este artículo introducimos la siguiente ecuación funcional de tipo (a, b, c)-mixta de la formadonde a, b, c son enteros positivos con a > 1, e investigamos la solución y la estabilidad de Hyers-Ulam de la ecuación funcional anterior en espacios de Banach usando dos métodos diferentes.

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Generalized Hyers-Ulam Stability of the Pexider Functional Equation

Abstract: In this paper, we investigate the generalized Hyers-Ulam stability of the Pexider functional equation f ( x + y , z + w ) = g ( x , z ) + h ( y , w ) .

Cited by 2 publications

References 12 publications

Hyers–Ulam Stability of an Additive-Quadratic Functional Equation

Hyers–Ulam Stability of an Additive-Quadratic Functional Equation

Hyers-Ulam stability of an additive-quadratic functional equation

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