Results 21 to 30 of about 3,075 (226)
International Journal of Analysis and Applications, 2019 In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
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Stability of the Exponential Functional Equation in Riesz Algebras
Abstract and Applied Analysis, 2014 We deal with the stability of the exponential Cauchy functional equation F(x+y)=F(x)F(y) in the class of functions F:G→L mapping a group (G, +) into a Riesz algebra L. The main aim of this paper is to prove that the exponential Cauchy functional equation
Bogdan Batko
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Probabilistic Cauchy functional equations
Electronic Communications in Probability19 ...
Azmoodeh, Ehsan +2 more
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On Approximate Solutions of Functional Equations in Vector Lattices
Abstract and Applied Analysis, 2014 We provide a method of approximation of approximate solutions of functional equations in the class of functions acting into a Riesz space (algebra). The main aim of the paper is to provide a general theorem that can act as a tool applicable to a possibly
Bogdan Batko
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A General Uniqueness Theorem concerning the Stability of Additive and Quadratic Functional Equations
Journal of Function Spaces, 2015 We prove a general uniqueness theorem that can be easily applied to the (generalized) Hyers-Ulam stability of the Cauchy additive functional equation, the quadratic functional equation, and the quadratic-additive type functional equations.
Yang-Hi Lee, Soon-Mo Jung
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Stability of Functional Equations in Dislocated Quasi-Metric Spaces
Annales Mathematicae Silesianae, 2018 We present a result on the generalized Hyers-Ulam stability of a functional equation in a single variable for functions that have values in a complete dislocated quasi-metric space.
Hejmej Beata
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Advanced Functional Materials, EarlyView.Novel ferrocene derivatives (e.g., FcPhc2) are used as an ultrathin layer hole‐blocking layer, reducing hole injection from the Ag contact. This results in an ultralow noise spectral density of 1.2 × 10−14 A Hz−1/2, and a high specific detectivity of 8.1 × 1012 Jones at −0.5 V.
Eunyoung Hong +16 more
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On the Stability Problem in Fuzzy Banach Space
Abstract and Applied Analysis, 2012 We investigate the generalized Ulam-Hyers stability of the Cauchy functional equation and pose two open problems in fuzzy Banach space.
G. Zamani Eskandani +2 more
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High Entropy Wide‐Bandgap Borates with Broadband Luminescence and Large Nonlinear Optical properties
Advanced Functional Materials, EarlyView.High‐entropy rare‐earth borates exhibit excellent nonlinear optical and broadband luminescence properties arising from multi‐component doping, chemical disorder, increased configurational entropy, and increased lattice and electronic anharmonicity. This formulation enabled us to obtain a large, environmentally stable single crystal with 3X higher laser‐
Saugata Sarker +14 more
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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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