Results 1 to 10 of about 4,771,756 (233)
Mathematics, 2022 In this paper, we give some properties of the bi-Jensen functional equation and investigate its Hyers–Ulam stability and hyperstability. We construct a function which is bi-Jensen and is not continuous.
Jae-Hyeong Bae +2 more
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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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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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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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Approximation of the generalized Cauchy–Jensen functional equation in C∗ $C^{*}$-algebras [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we prove Hyers–Ulam–Rassias stability of C∗ $C^{*}$-algebra homomorphisms for the following generalized Cauchy–Jensen equation: αμf(x+yα+z)=f(μx)+f(μy)+αf(μz), $$ \alpha\mu f \biggl(\frac{x+y}{\alpha}+z \biggr) = f(\mu x) + f(\mu y ...
Prondanai Kaskasem, Chakkrid Klin-eam
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Intuitionistic fuzzy almost Cauchy–Jensen mappings
Demonstratio Mathematica, 2016 In this paper, we first investigate the Hyers–Ulam stability of the generalized Cauchy–Jensen functional equation of p-variable f(∑i=1paixi)=∑i=1paif(xi)$f\left(\sum\nolimits_{i = 1}^p {a_i x_i } \right) = \sum\nolimits_{i = 1}^p {a_i f(x_i )}$ in an ...
Gordji M. E., Abbaszadeh S.
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A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution [PDF]
Fixed Point Theory and Applications, 2008 Cădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we will adopt the idea of Cădariu and Radu to prove the Hyers-Ulam-Rassias stability of the quadratic functional equation
Zoon-Hee Lee, Soon-Mo Jung
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Fuzzy Stability of Quadratic Functional Equations
Advances in Difference Equations, 2010 The fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated by Moslehian et al.
Dong Yun Shin +3 more
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Fuzzy Optimization and Modeling, 2022 In present paper, the stability of generalized Jordan derivations associated with Hochschild 2-cocycles of triangular algebras for the generalized kind of Jensen-type functional equation is investigated.
Rohollah Bakhshandeh, Isa Bakhshandeh
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Some hyperstability and stability results for the Cauchy and Jensen equations
Journal of Inequalities and Applications, 2022 In this paper we give some hyperstability and stability results for the Cauchy and Jensen functional equations on restricted domains. We provide a simple and short proof for Brzdȩk’s result concerning a hyperstability result for the Cauchy equation.
Mohammad Bagher Moghimi, Abbas Najati
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