Alienation of the Jensen, Cauchy and d’Alembert Equations [PDF]
Annales Mathematicae Silesianae, 2016 Abstract Let (S, +) be a commutative semigroup, σ : S → S be an endomorphism with σ2 = id and let K be a field of characteristic different from 2. Inspired by the problem of strong alienation of the Jensen equation and the exponential Cauchy equation, we study the solutions f, g : S → K of the functional equation
Sobek, Barbara
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Generalized Ulam-Hyers Stability of Jensen Functional Equation in Šerstnev PN Spaces [PDF]
Journal of Inequalities and Applications, 2010 We establish a generalized Ulam-Hyers stability theorem in a Šerstnev probabilistic normed space (briefly, Šerstnev PN-space) endowed with .
Ghaemi MB +3 more
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The hyperstability of AQ-Jensen functional equation on 2-divisible abelian group and inner product spaces [PDF]
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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On a modified version of Jensen inequality [PDF]
Journal of Inequalities and Applications, 1999 The right-hand side of the Jensen inequality is multiplied by a constant and the related equation is considered. It is shown that every continuous solution of this equation is of the form for some , .
Szostok Tomasz
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New Generalizations of Jensen's Functional Equation [PDF]
Proceedings of the American Mathematical Society, 1995 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haruki, Hiroshi +1 more
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Iterator Operator Norm Estimation for Solutions to a Class of Elliptic Equations in Orlicz Space
Journal of Harbin University of Science and Technology, 2023 To study the related estimation of iterative operators on differential form, we apply the Jensen inequality, Young equation , G (p, q, C) class function and Whithey coverage theorem to extend the Lp estimation of A-harmonic equation of Green and Dirac ...
LÜ Yue ming, LI Xiao huan
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Stability of Jensen functional equation on semigroups [PDF]
, 2010 In this paper we introduce a Jensen type functional equation on semigroups and study the Hyers–Ulam stability of this equation.
Faĭziev, Valeriĭ A., Riedel, Thomas
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Stability of Bi-Additive Mappings and Bi-Jensen Mappings [PDF]
, 2021 Symmetry is repetitive self-similarity. We proved the stability problem by replicating the well-known Cauchy equation and the well-known Jensen equation into two variables.
Won-Gil Park, Jae-Hyeong Bae
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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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Some hyperstability results for a Cauchy-Jensen type functional equation in 2-Banach spaces [PDF]
, 2020 In this paper, we investigate some stability and hyperstability results for the following Cauchy-Jensen functional equation in 2-Banach spaces by using Brzdȩk’s fixed point approach ...
Naif Sayar, Khaled Yahya, Bergam, Amal
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