Results 41 to 50 of about 767 (107)
Demonstratio Mathematica, 2023 This article presents the general solution f:G→Vf:{\mathcal{G}}\to {\mathcal{V}} of the following functional equation: f(x)−4f(x+y)+6f(x+2y)−4f(x+3y)+f(x+4y)=0,x,y∈G,f\left(x)-4f\left(x+y)+6f\left(x+2y)-4f\left(x+3y)+f\left(x+4y)=0,\hspace{1.0em}x,y\in {\
Park Choonkil +4 more
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Linear Independence of a Finite Set of Dilations by a One-Parameter Matrix Lie Group
, 2012 Let $G=\{e^{tA}:t\in\mathbb{R}\}$ be a closed one-parameter subgroup of the general linear group of matrices of order $n$ acting on $\mathbb{R}^{n}$ by matrix-vector multiplications. We assume that all eigenvalues of $A$ are rationally related.
Ferrone, David, Oussa, Vignon
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A fixed point approach to the hyers-ulam stability of a functional equation in various normed spaces
, 2011 Using direct method, Kenary (Acta Universitatis Apulensis, to appear) proved the Hyers-Ulam stability of the following functional equation f(mx+ny)=(m+n)f(x+y)2+(m-n)f(x-y)2 in non-Archimedean normed spaces and in random normed spaces, where m, n are ...
H. A. Kenary, S. Jang, Choonkill Park
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Fuzzy Stability of Generalized Mixed Type Cubic, Quadratic, and Additive Functional Equation
Journal of Inequalities and Applications, 2011 In this paper, we prove the generalized Hyers-Ulam stability of generalized mixed type cubic, quadratic, and additive functional equation, in fuzzy Banach spaces. 2010 Mathematics Subject Classification: 39B82; 39B52.
Shin Dong +4 more
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A Functional Equation with Biadditive Functions
Annales Mathematicae Silesianae, 2022 Let S, H, X be groups. For two given biadditive functions A : S2 → X, B : H2 → X and for two unknown mappings T : S → H, g : S → S we will study the functional ...
Łukasik Radosław
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Characterization of Classes of Polynomial Functions
, 2014 In this paper some classes of local polynomial functions on abelian groups are characterized by the properties of their variety. For this characterization we introduce a numerical quantity depending on the variety of the local polynomial only.
Almira, J. M., Székelyhidi, L.
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A correction to approximation of generalized homomorphisms in quasi-Banach algebras
, 2018 Eshaghi et. al [Approximation of generalized homomorphisms in quasi–Banach algebras, An. St. Univ. Ovidius Constanta, 17(2), (2009), 203–214] defined the notion of generalized homomorphisms in quasi–Banach algebras.
I. Nikoufar
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A Functional equation related to inner product spaces in non-archimedean normed spaces
Advances in Difference Equations, 2011 In this paper, we prove the Hyers-Ulam stability of a functional equation related to inner product spaces in non-Archimedean normed spaces. 2010 Mathematics Subject Classification: Primary 46S10; 39B52; 47S10; 26E30; 12J25.
shin Dong +4 more
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Multi-variable translation equation which arises from homothety
, 2010 In many regular cases, there exists a (properly defined) limit of iterations of a function in several real variables, and this limit satisfies the functional equation (1-z)f(x)=f(f(xz)(1-z)/z); here z is a scalar and x is a vector. This is a special case
A. Mach +8 more
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Nonlinear approximation of an ACQ-functional equation in nan-spaces
Fixed Point Theory and Applications, 2011 In this paper, using the fixed point and direct methods, we prove the generalized Hyers-Ulam stability of an additive-cubic-quartic functional equation in NAN-spaces. Mathematics Subject Classification (2010) 39B52·47H10·26E30·46S10·
Lee Jung +2 more
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