Results 11 to 20 of about 4,563,831 (252)
On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces [PDF]
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
doaj +3 more sources
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
openaire +2 more sources
Superstability of generalized cauchy functional equations [PDF]
Advances in Difference Equations, 2011 In this paper, we consider the stability of generalized Cauchy functional equations such as Especially interesting is that such equations have the Hyers-Ulam stability or superstability whether g is identically one or not.
Chung Soon-Yeong, Lee Young-Su
doaj +2 more sources
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
doaj +2 more sources
On Some New Generalizations of the Functional Equation of Cauchy
Canadian Mathematical Bulletin, 1967 Examining certain problems in physics M. Hosszu [l] obtained the functional equation(1)where x, y, f are real.In another paper M. Hosszu [2] proved that the equation (1) is equivalent to the functional equation of Cauchy; i. e., to the equation(1)under the assumption that x is real and f is real and continuous.
Fischer, P., Muszely, G.
openaire +3 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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
doaj +1 more source
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
doaj +2 more sources
Cauchy-Schwartz Functionals [PDF]
, 2000 We treat a class of functionals which satisfy the Cauchy–Schwarz inequality. This appears to be a natural unifying concept and subsumes inter alia isotonic linear functionals and sublinear positive isotonic functionals.
Pearce, Charles +2 more
core +5 more sources