Results 31 to 40 of about 1,517,675 (283)
ON THE STABILITY OF THE JENSEN'S EQUATION IN A HILBERT MODULE
Bulletin of the Korean Mathematical Society, 2003 Let \(A\) be a unital Banach algebra with norm \(| \cdot| \), \(A_1=\{a\in A \mid | a| =1\}\) and \(_A{\mathcal{H}}\) a left Banach \(A\)-module with norm \(\| \cdot\|\). The authors study the generalized Hyers-Ulam-Rassias stability of the invertible mapping in a Banach module over a unital Banach algebra. The main result is the following: Let \(F:_A{\
Park, Chun-Gil, Park, Won-Gil
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A Fixed Point Approach to the Stability of Quadratic Functional Equation with Involution
Fixed Point Theory and Applications, 2008 Cădariu and Radu applied the fixed point method to the investigation of Cauchy and Jensen functional equations. In this paper, we will adopt the idea of Cădariu and Radu to prove the Hyers-Ulam-Rassias stability of the quadratic functional equation
Zoon-Hee Lee, Soon-Mo Jung
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Approximate multi-Jensen-cubic mappings and a fixed point theorem
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2020 In this paper, we introduce multi-Jensen-cubic mappings and unify the system of functional equations defining the multi-Jensen-cubic mapping to a single equation.
Elahe Ramzanpour, Abasalt Bodaghi
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On the Intuitionistic Fuzzy Stability of Ring Homomorphism and Ring Derivation
Abstract and Applied Analysis, 2013 We take into account the stability of ring homomorphism and ring derivation in intuitionistic fuzzy Banach algebra associated with the Jensen functional equation.
Jaiok Roh, Ick-Soon Chang
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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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Digital Cognitive Phenotyping for Differential Diagnosis and Monitoring in Neurological Conditions
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To assess the utility, accessibility, and equivalence to supervised scales of online cognitive assessment in older individuals with cognitive impairment. Methods Patients with Alzheimer's disease (AD, n = 31), idiopathic normal pressure hydrocephalus (iNPH, n = 26), and traumatic brain injury (TBI, n = 23) completed online cognitive ...
Martina Del Giovane +10 more
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On the stability of a quadratic Jensen type functional equation [PDF]
, 2002 In this paper we obtain the general solution of the quadratic Jensen type functional equation 9fx+y+z3+f(x)+f(y)+f(z)=4fx+y2+fy+z2+fz+x2 and prove the stability of this equation in the spirit of Hyers, Ulam, Rassias, and ...
Lee, Young Whan
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Advanced Science, EarlyView.A unified time‐series forecasting framework learns transferable battery capacity‐degradation patterns from 20 heterogeneous datasets spanning chemistries, formats, temperatures, and cycling conditions. A single model delivers competitive predictions on both known and previously unseen datasets, while physics‐guided representation learning improves ...
Joey Chan +8 more
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Hyers–Ulam stability and hyperstability of a Jensen-type functional equation on 2-Banach spaces
Journal of Inequalities and Applications, 2022 The main aim of this paper is to establish the Hyers–Ulam stability and hyperstability of a Jensen-type quadratic mapping in 2-Banach spaces. That is, we prove the various types of Hyers–Ulam stability and hyperstability of the Jensen-type quadratic ...
Arumugam Ponmana Selvan, Abbas Najati
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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
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