Add to ORKGWe deal with a conditional functional equation (y) implies f(x + y) = f(x) + f(y). Under some assumptions imposed on function (p, the domains and ranges of tp and / we derive the additivity of / . As a consequence we obtain two Hyers-Ulam stability results related to the equation considered
AbstractLet G1 be a vector space and G2 a Banach space. In this paper, we solve the generalized Hyer...
In this paper, Cauchy’s and Pexider’s functional equations are studied. Our aim is to find out wheth...
ABSTRACT. We show that generalizations of some (classical) results on the Hyers-Ulam stabil-ity of f...
AbstractWe study a generalized stability problem for Cauchy and Jensen functional equations satisfie...
[[abstract]]In this paper, we obtain the general solution and we provide a proof of the functional s...
We prove a hyperstability result for the Cauchy functional equation \(f(x+y)=f(x)+f(y)\), which comp...
AbstractIn this paper, we obtain the general solution and stability of the Cauchy–Jensen functional ...
By applying the fixed point method, we will prove the Hyers-Ulam-Rassias stability of the functional...
We investigate the generalized Hyers-Ulam stability of the functional inequalities ∥f((x+y+z)/4)+f((...
In this paper, we prove the Hyers-Ulam stability for the following additive functional equationf (x ...
permits unrestricted use, distribution, and reproduction in any medium, provided the original work i...
AbstractThe functional equation af(xy)+bf(x)f(y)+cf(x+y)+d(f(x)+f(y))=0 whose shape contains all the...
ABSTRACT. In this paper, we prove two general theorems about Hyers-Ulam stability of functional equa...
Abstract. A familiar functional equation f(ax+b) = cf(x) will be solved in the class of functions f...
In this paper, we reformulate and prove the Hyers-Ulam-Rassias stability theorem of the cubic functi...
AbstractLet G1 be a vector space and G2 a Banach space. In this paper, we solve the generalized Hyer...
In this paper, Cauchy’s and Pexider’s functional equations are studied. Our aim is to find out wheth...
ABSTRACT. We show that generalizations of some (classical) results on the Hyers-Ulam stabil-ity of f...
AbstractWe study a generalized stability problem for Cauchy and Jensen functional equations satisfie...
[[abstract]]In this paper, we obtain the general solution and we provide a proof of the functional s...
We prove a hyperstability result for the Cauchy functional equation \(f(x+y)=f(x)+f(y)\), which comp...
AbstractIn this paper, we obtain the general solution and stability of the Cauchy–Jensen functional ...
By applying the fixed point method, we will prove the Hyers-Ulam-Rassias stability of the functional...
We investigate the generalized Hyers-Ulam stability of the functional inequalities ∥f((x+y+z)/4)+f((...
In this paper, we prove the Hyers-Ulam stability for the following additive functional equationf (x ...
permits unrestricted use, distribution, and reproduction in any medium, provided the original work i...
AbstractThe functional equation af(xy)+bf(x)f(y)+cf(x+y)+d(f(x)+f(y))=0 whose shape contains all the...
ABSTRACT. In this paper, we prove two general theorems about Hyers-Ulam stability of functional equa...
Abstract. A familiar functional equation f(ax+b) = cf(x) will be solved in the class of functions f...
In this paper, we reformulate and prove the Hyers-Ulam-Rassias stability theorem of the cubic functi...
AbstractLet G1 be a vector space and G2 a Banach space. In this paper, we solve the generalized Hyer...
In this paper, Cauchy’s and Pexider’s functional equations are studied. Our aim is to find out wheth...
ABSTRACT. We show that generalizations of some (classical) results on the Hyers-Ulam stabil-ity of f...