Results 21 to 30 of about 152,222 (241)
Solution of Whitehead equation on groups [PDF]
, 2013 summary:Let $G$ be a group and $H$ an abelian group. Let $J^{*} (G, H)$ be the set of solutions $f \colon G \to H$ of the Jensen functional equation $f(xy)+f(xy^{-1}) = 2f(x)$ satisfying the condition $f(xyz) - f(xzy) = f(yz)-f(zy)$ for all $x, y , z ...
Sahoo, Prasanna K. +1 more
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Jensen’s functional equation on the symmetric group Sn [PDF]
, 2011 Two natural extensions of Jensen’s functional equation on the real line are the equations f(xy) + f(xy−1) = 2f(x) and f(xy) + f(y−1x) = 2f(x), where f is a map from a multiplicative group G into an abelian additive group H.
C. Lê, T. Thai
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On the stability of the squares of some functional equations
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2015 We consider the stability, the superstability and the inverse stability of the functional equations with squares of Cauchy’s, of Jensen’s and of isometry equations and the stability in Ulam-Hyers sense of the alternation of functional equations and of ...
Zenon Moszner
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Asymptotic Behaviors of Set-Valued Cauchy and Jensen Functional Equations [PDF]
Sahand Communications in Mathematical AnalysisLet $X$ be a normed vector space and $Y$ a Banach space. In this paper, we establish the conditional stability of the set-valued functionalequations\begin{align*} & f(x+y)+K=f(x)+f(y), \\ & 2f\left(\frac{x+y}{2}\right)= f(x)+f(y),\\ & 3f\left ...
Mohammad Moghimi, Abbas Najati
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Stability of involutions on Banach Algebra by fixed point method [PDF]
, 2023 Using the fixed point method of the stability of the Jensen's functional equation, we proved the Hyers-Ulam-Rassias stability and super stability of involution on Banach algebra and find some conditions that with them a Banach algebra with approximate ...
Velayati, M. R., Salehi, N.
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On the stability of generalized d′Alembert and Jensen functional equations [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 The aim of this paper is to study the stability problem of the generalized d′Alembert, Wilson, and Jensen functional equations.
Kyung Hui Kim, Sever Silvestru Dragomir
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ScienceAsia, 2022 : Given real numbers α , β , γ such that ( α , β , γ ) (cid:54) = ( k , − 2 k , k ) for all k ∈ (cid:82) and ( β , γ ) / ∈ { ( 0, α ) , ( α , α ) , ( α + γ , γ ) } , we investigate the stability of an alternative Jensen’s functional equation of the form ...
C. Srisawat
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On a functional equation connected to the distributivity of fuzzy implications over triangular norms and conorms [PDF]
, 2014 summary:Distributivity of fuzzy implications over different fuzzy logic connectives have a very important role to play in efficient inferencing in approximate reasoning, especially in fuzzy control systems (see [9, 15] and [4]).
Baczyński, Michał +2 more
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Hyperstability of Cauchy–Jensen functional equations
Indagationes Mathematicae, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
EL-Fassi, Iz-iddine +2 more
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Fuzzy Stability of Jensen‐Type Quadratic Functional Equations [PDF]
Abstract and Applied Analysis, 2009 We prove the generalized Hyers‐Ulam stability of the following quadratic functional equations 2f((x + y)/2) + 2f((x − y)/2) = f(x) + f(y) and f(ax + ay) + (ax − ay) = 2a2f(x) + 2a2f(y) in fuzzy Banach spaces for a nonzero real number a with a ≠ ±1/2.
Jang, Sun-Young +3 more
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