Results 11 to 20 of about 4,516,797 (266)
A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation [PDF]
Abstract and Applied Analysis, 2012 We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its ...
Jae-Hyeong Bae, Won-Gil Park
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Stability of a Bi-Jensen Functional Equation II
Journal of Inequalities and Applications, 2009 We investigate the stability of the bi-Jensen functional equation II f((x+y)/2,z)−f(x,z)−f(y,z)=0, 2f(x,(y+z)/2)−f(x,y)−f(x,z)=0 in the spirit of Găvruta.
Lee Yang-Hi, Jun Kil-Woung, Jung Il-Sook
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Generalized Jensen functional equation on restricted domain
Annals of the West University of Timisoara: Mathematics and Computer Science, 2014 We prove the Hyers-Ulam stability on restricted domains of generalized Jensen functional ...
Chahbi Abdellatif +3 more
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On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces [PDF]
International Journal of Analysis and Applications, 2019 In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
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Ulam Stability of Jensen Functional Inequality on a Class of Noncommutative Groups
Journal of Function Spaces, 2023 In the paper, we introduce new ρ-functional inequalities related to the Jensen functional equation and some properties. The Hyers-Ulam stability of functional inequalities is proved.
Gang Lu +3 more
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Stability of Jensen functional equation on semigroups [PDF]
Journal of Mathematical Analysis and Applications, 2010 A real function \(f\) defined on a semigroup \(S\) is Jensen if it satisfies the functional equation \(f(xyz)+f(xzy)+2f(x)-2f(xy)-2f(xz)=0\). In this paper, the authors investigate the Hyers-Ulam stability of the above equation and prove that each semigroup can be embedded into a semigroup such that the equation above is stable.
Faĭziev, Valeriĭ A., Riedel, Thomas
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Stability of a Cauchy-Jensen Functional Equation in Quasi-Banach Spaces [PDF]
Journal of Inequalities and Applications, 2010 We obtain the generalized Hyers-Ulam stability of the Cauchy-Jensen functional equation .
Park Won-Gil, Bae Jae-Hyeong
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Stability of the Jensen-Type Functional Equation in C∗-Algebras: A Fixed Point Approach
Abstract and Applied Analysis, 2009 Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and also of derivations on C∗-algebras and Lie C∗-algebras for the Jensen-type functional equation f((x+y)/2)+f((x−y)/2)=f(x).
Choonkil Park, John Michael Rassias
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Hyers-Ulam Stability of a Bi-Jensen Functional Equation on a Punctured Domain
Journal of Inequalities and Applications, 2010 We obtain the Hyers-Ulam stability of a bi-Jensen functional equation: and simultaneously . And we get its stability on the punctured domain.
Lee Yang-Hi, Kim GwangHui
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 In this paper, we prove the hyperstability of the following mixed additive-quadratic-Jensen functional equation 2f(x+y2)+f(x−y2)+f(y−x2)=f(x)+f(y)$$2f({{x + y} \over 2}) + f({{x - y} \over 2}) + f({{y - x} \over 2}) = f(x) + f(y)$$ in the class of ...
EL-Fassi Iz-iddine, Kabbaj Samir
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