Results 11 to 20 of about 26,900 (293)
Approximation on the Quadratic Reciprocal Functional Equation
Journal of Function Spaces, 2014 The quadratic reciprocal functional equation is introduced. The Ulam stability problem for an ϵ-quadratic reciprocal mapping f:X→Y between nonzero real numbers is solved.
Abasalt Bodaghi, Sang Og Kim
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The system of mixed type additive-quadratic equations and approximations
Journal of Inequalities and ApplicationsIn this article, we study the structure of a multiple variable mapping. Indeed, we reduce the system of several mixed additive-quadratic equations defining a multivariable mapping to obtain a single functional equation, say, the multimixed additive ...
Abasalt Bodaghi +2 more
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Estimation of Inexact Multimixed Additive-Quadratic Mappings in Fuzzy Normed Spaces
Journal of MathematicsIn the current study, we introduce a new model of multimixed additive-quadratic mapping and then show that the system of several mixed additive-quadratic equations defining a multimixed additive-quadratic mapping can be unified and presented as a single ...
Abasalt Bodaghi
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A family of quadratic forms associated to quadratic mappings of spheres
Linear Algebra and its Applications, 1985 Let \((U,q_ U)\) and \((V,q_ V)\) be real positive definite quadratic spaces of dimension n and m respectively, n,m\(\geq 2\). Furthermore let \(S_ U\subset U\), \(S_ V\subset V\) denote the corresponding spheres and S(U,V) the set of quadratic maps f:U\(\to V\) such that \(q_ V(f(x))=q_ U(x)^ 2\) for all \(x\in U\).
Turisco, JoAnn S.
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Stability of Approximate Quadratic Mappings [PDF]
Journal of Inequalities and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juri Lee, Hark-Mahn Kim, Minyoung Kim
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Multivariate nonnegative quadratic mappings [PDF]
SSRN Electronic Journal, 2003 Consider a closed convex cone \(C\subseteq\mathbb R^m\) defining on \(\mathbb R^m\) the usual cone order and thus a notion of positivity. Given a function \(f:\mathbb R^n\rightarrow \mathbb R^m\) and a domain \(D\subseteq \mathbb R^n,\) the question whether \(f(D)\subseteq C,\) i.e. whether \(f| D\) is nonnegative w.r.t. \(C\) can be difficult.
Zhi-Quan Luo +2 more
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Quadratic volume-preserving maps [PDF]
Nonlinearity, 1998 We study quadratic, volume preserving diffeomorphisms whose inverse is also quadratic. Such maps generalize the Henon area preserving map and the family of symplectic quadratic maps studied by Moser. In particular, we investigate a family of quadratic volume preserving maps in three space for which we find a normal form and study invariant sets.
Lomelí, Héctor E., Meiss, James D.
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Nearly General Septic Functional Equation
Journal of Function Spaces, 2021 If a mapping can be expressed by sum of a septic mapping, a sextic mapping, a quintic mapping, a quartic mapping, a cubic mapping, a quadratic mapping, an additive mapping, and a constant mapping, we say that it is a general septic mapping.
Ick-Soon Chang, Yang-Hi Lee, Jaiok Roh
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Mathematics, 2021 In this paper, we use direct and fixed-point techniques to examine the generalised Ulam–Hyers stability results of the general Euler–Lagrange quadratic mapping in non-Archimedean IFN spaces (briefly, non-Archimedean Intuitionistic Fuzzy Normed spaces ...
Kandhasamy Tamilvanan +3 more
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A New Approach to Hyers-Ulam Stability of r-Variable Quadratic Functional Equations
Journal of Function Spaces, 2021 In this paper, we investigate the general solution of a new quadratic functional equation of the form ∑1 ...
Vediyappan Govindan +4 more
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