AbstractWe study a generalized stability problem for Cauchy and Jensen functional equations satisfied for all pairs of vectors x,y from a linear space such that γ(x)=γ(y) or γ(x+y)=γ(x−y) with a given function γ
We prove the Hyers–Ulam stability of the functional equation f(a1x1 + a2x2, b1y1 + b2y2) = C1f(x1, ...
we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized deriva...
AbstractWe study the stability of an equation in a single variable of the formf(x)=af(h(x))+bf(−h(x)...
AbstractWe study a generalized stability problem for Cauchy and Jensen functional equations satisfie...
We solve functional equation of the form f(x + y − xy) + f(xy) = 2f((x+y)/2) in the class of functio...
Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonało...
We give some stability results for the functional equation $\textit{a(xy) = a(x) + a(y)}$, where $\t...
AbstractIn 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the ...
AbstractWe reformulate and solve the stability problem of a Jensen type functional equation3f(x+y+z3...
AbstractIn this paper, we prove the generalized Hyers–Ulam stability of the following mixed additive...
In this paper, we prove the Hyers-Ulam stability of the additive functional equation for a number of...
AbstractIn this paper, we investigate homomorphisms between C∗-ternary algebras, and derivations on ...
AbstractIn this paper we introduce a Jensen type functional equation on semigroups and study the Hye...
We prove two separation theorems for solutions of conditional Cauchy and Jensen equations
AbstractLet f:S→X map an abelian semigroup (S,+) into a Banach space (X‖⋅‖). We deal with stability ...
We prove the Hyers–Ulam stability of the functional equation f(a1x1 + a2x2, b1y1 + b2y2) = C1f(x1, ...
we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized deriva...
AbstractWe study the stability of an equation in a single variable of the formf(x)=af(h(x))+bf(−h(x)...
AbstractWe study a generalized stability problem for Cauchy and Jensen functional equations satisfie...
We solve functional equation of the form f(x + y − xy) + f(xy) = 2f((x+y)/2) in the class of functio...
Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonało...
We give some stability results for the functional equation $\textit{a(xy) = a(x) + a(y)}$, where $\t...
AbstractIn 1940 S.M. Ulam proposed the famous Ulam stability problem. In 1941 D.H. Hyers solved the ...
AbstractWe reformulate and solve the stability problem of a Jensen type functional equation3f(x+y+z3...
AbstractIn this paper, we prove the generalized Hyers–Ulam stability of the following mixed additive...
In this paper, we prove the Hyers-Ulam stability of the additive functional equation for a number of...
AbstractIn this paper, we investigate homomorphisms between C∗-ternary algebras, and derivations on ...
AbstractIn this paper we introduce a Jensen type functional equation on semigroups and study the Hye...
We prove two separation theorems for solutions of conditional Cauchy and Jensen equations
AbstractLet f:S→X map an abelian semigroup (S,+) into a Banach space (X‖⋅‖). We deal with stability ...
We prove the Hyers–Ulam stability of the functional equation f(a1x1 + a2x2, b1y1 + b2y2) = C1f(x1, ...
we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized deriva...
AbstractWe study the stability of an equation in a single variable of the formf(x)=af(h(x))+bf(−h(x)...