Results 1 to 10 of about 152,222 (241)
A Variant of Jensen’s Functional Equation on Semigroups
Demonstratio Mathematica, 2016 We determine the solutions f : S → H of the following functional ...
Fadli Brahim +2 more
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Stability of an alternative functional equation related to Jensen's functional equation [PDF]
ScienceAsia, 2017 Given an integer λ 6= 1, we verify the Hyers-Ulam stability of the alternative Jensen’s functional equations f (x y−1)−2 f (x)+λ f (x y) = 0 where f is a mapping from a 2-divisible group to a Banach space and λ is an integer.
C. Srisawat
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JENSEN'S FUNCTIONAL EQUATION IN MULTI-NORMED SPACES [PDF]
Taiwanese Journal of Mathematics, 2010 Let \(E\) be a linear space and let \((F^n,\|\cdot\|_{n})_{n\in\mathbb{N}}\) be a multi-Banach space. In such a setting, the Hyers-Ulam stability of Jensen's functional equation is proved. Suppose that a mapping \(f: E\to F\) is an approximate solution of Jensen's equation, i.e., \(f(0)=0\) and, with some \(\alpha\geq 0\), \[ \sup_{k\in\mathbb{N ...
M. Moslehian, H. Srivastava
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On a Local Stability of the Jensen Functional Equation [PDF]
Demonstratio Mathematica, 1989 The problem of s tab i l i t y of Cauohy's femotional equation on a r e s t r i c t domain D in R has a positive answer [ 5 ] . In this paper -we shal l show that CauOhy's functional equation and Jensen's funotional equation on a res t r io t domain D ...
Z. Komínek
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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.
H. Haruki, T. Rassias
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On the stability of Jensen’s functional equation on groups [PDF]
Proceedings Mathematical Sciences, 2007 In this paper we establish the stability of Jensen’s functional equation on some classes of groups. We prove that Jensen equation is stable on noncommutative groups such as metabelian groups and T (2, K), where K is an arbitrary commutative field with ...
V. Faĭziev, P. K. Sahoo
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Fixed point approaches to the stability of Jensen’s functional equation
Open MathematicsWe will investigate the stability problem of the Jensen’s functional equation using Brzdȩk fixed point theorem and fixed point alternative method on non-Archimedean fuzzy normed spaces.
Kang Dongseung, Koh Heejeong
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On Jensen's functional equation
Aequationes Mathematicae, 1992 The following is offered as main result. Let \((G,\cdot)\) and \((H,+)\) be abelian groups, and \(e\) the neutral element of \((G,\cdot)\). The solutions \(f: G\to H\) of \(f(xy)+f(xy^{-1})=2f(x)\), \(f(e)=0\) are exactly the homomorphisms of \(G\to H\) if, and only if, either \(H\) has no element of order 2 or \([G:G^ 2]\leq 2\), where \(G^ 2:=\{x^ 2 ...
J. Parnami, H. Vasudeva
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Jensen’s and the quadratic functional equations with an endomorphism [PDF]
Proyecciones (Antofagasta), 2017 We determine the solutions f : S → H of the generalized Jensen’s functional equationf (x + y) + f (x + φ(y)) = 2f (x), x,y ∈ S,and the solutions f : S → H of the generalized quadratic functional equationf (x + y) + f (x + φ(y)) = 2f (x) + 2f (y), x,y ∈
K. Sabour, S. Kabbaj
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Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces
International Journal of Analysis and Applications, 2018 In this paper, we prove the Hyers-Ulam Stability of Euler-Lagrange-Jensen’s (a,b)-Sextic Functional Equation in Multi-Banach Spaces.
John Michael Rassias +2 more
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