On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality

By K. Jun, Yang-Hi Lee. 2001

130 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/e6c5848875251a66b644b2cad31b87be4f18c8f7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Choonkill Park
2. Abbas Najati
3. Mohammad Sal Moslehian
4. Themistocles M. Rassias
5. Hark-Mahn Kim
6. Madjid Mirzavaziri
7. Jianlian Cui
8. Chun-Gil Park

In Applied Mathematics

1. Choonkill Park
2. Abbas Najati
3. Mohammad Sal Moslehian
4. Chun-Gil Park
5. Hark-Mahn Kim
6. Themistocles M. Rassias
7. K. Jun
8. Madjid Mirzavaziri

In Mathematical Physics

1. Choonkill Park
2. Abbas Najati
3. Hark-Mahn Kim
4. Mohammad Sal Moslehian
5. Madjid Mirzavaziri
6. Chun-Gil Park
7. Themistocles M. Rassias
8. K. Jun

Citations in the corpus

• On the stability of Euler–Lagrange type cubic mappings in quasi-Banach spaces (2007, background): “Lee [11] proved the Hyers– Ulam–Rassias stability of the Pexiderized quadratic equation (1.”
• Generalized stability of C* -ternary quadratic mappings (2007, background): “Jun and Lee [13] proved the further generalized stability of a Pexiderized quadratic functional equation f (x+ y) + g(x− y)= 2h(x) + 2k(y).”
• A Generalization of the Hyers-Ulam-Rassias Stability of the Pexiderized Quadratic Equations, II (2004, unknown): “In 2001, the authors [11] proved t he stability of the Pexiderized quadra inequalities ∥∥f (x + y) + f (x − y) − 2g(x) − 2g(y)∥∥ φ(x, y), ∥∥f (x + y) + g(x − y) − 2h(x) − 2k(y)∥∥ φ(x, y).”
• Hyers–Ulam stability of a generalized Apollonius type quadratic mapping☆ (2006, background): “Then there exists a unique quadratic mapping Q :G → E with the properties∥∥f (x) − Q(x)∥∥ Φ(x,x) for all x ∈ G. Jun and Lee [14] proved the Hyers–Ulam stability of the Pexiderized quadratic equation f (x + y) + g(x − y) = 2h(x) + 2k(y) for mappings f,g,h and k.”
• The generalized Hyers–Ulam–Rassias stability of a cubic functional equation☆ (2002, background): “Jun and Lee [14] proved the Hyers–Ulam–Rassias stability of the pexiderized quadratic equation (1.1).”
• A fixed point approach to stability of a quadratic equation (2005, background): “Lee [16] proved the stability of quadratic equation of Pexider type.”
• Stability of a functional equation deriving from quadratic and additive functions in quasi-Banach spaces (2008, background): “Jun and Lee [10] proved the Hyers–Ulam–Rassias stability of the pexiderized quadratic equation (1.1).”