Results 11 to 20 of about 3,995 (269)
A Fixed Point Approach to the Stability of a Cauchy-Jensen Functional Equation [PDF]
Abstract and Applied Analysis, 2012 We find out the general solution of a generalized Cauchy-Jensen functional equation and prove its stability. In fact, we investigate the existence of a Cauchy-Jensen mapping related to the generalized Cauchy-Jensen functional equation and prove its ...
Jae-Hyeong Bae, Won-Gil Park
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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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The Cauchy functional equations in distributions [PDF]
Proceedings of the American Mathematical Society, 1989 The Pompeiu functional equation is defined by Neagu for Schwartz distributions. His method is extended to the four Cauchy functional equations by means of two new operators Q
E. L. Koh
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Probabilistic Cauchy functional equations
Electronic Communications in Probability19 ...
Azmoodeh, Ehsan +2 more
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On a conditional Cauchy functional equation of several variables and a characterization of multivariate stable distributions [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 The general solution of a conditional Cauchy functional equation of several variables is obtained and its applications to the characterizations of multivariate stable distributions are studied.
Arjun K. Gupta +2 more
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On Hyperstability of the Cauchy Functional Equation in n-Banach Spaces
Mathematics, 2020 We present some hyperstability results for the well-known additive Cauchy functional equation f(x+y)=f(x)+f(y) in n-normed spaces, which correspond to several analogous outcomes proved for some other spaces. The main tool is a recent fixed-point theorem.
Janusz Brzdęk, El-sayed El-hady
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Stability of a Cauchy-Jensen Functional Equation in Quasi-Banach Spaces [PDF]
Journal of Inequalities and Applications, 2010 We obtain the generalized Hyers-Ulam stability of the Cauchy-Jensen functional equation .
Park Won-Gil, Bae Jae-Hyeong
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Fixed Point Theory and Applications, 2011 We prove the generalized Hyers-Ulam stability of the Pexiderized Cauchy functional equation in non-Archimedean spaces.
Cho YeolJe, Najati Abbas
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Fixed Points and Stability of the Cauchy Functional Equation in C∗-Algebras [PDF]
Fixed Point Theory and Applications, 2009 Using the fixed point method, we prove the generalized Hyers-Ulam stability of homomorphisms in C∗-algebras and Lie C∗-algebras and of derivations on C∗-algebras and Lie C∗-algebras for the Cauchy functional equation.
Choonkil Park
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Justification of the Cauchy-Born approximation of elastodynamics [PDF]
, 2013 We present sharp convergence results for the Cauchy-Born approximation of general classical atomistic interactions, for static problems with small data and for dynamic problems on a macroscopic time ...
Ortner, Christoph, Theil, Florian
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