We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered the mixed functional equations of the sine function and cosine function, the hyperbolic sine function and hyperbolic cosine function, and the exponential functions, respectively
The aim of this paper is to study the superstability problem of the d’Alembert type functional equat...
We prove a hyperstability result for the Cauchy functional equation \(f(x+y)=f(x)+f(y)\), which comp...
We consider the stability, the superstability and the inverse stability of the functional equations ...
In this paper, we study the superstablity problem of the cosine and sine type functional equations: ...
Abstract. The aim of this paper is to study the superstability problem of the mixed trigonometric fu...
In this paper, we study the superstability for the mu-mixed trigonometric functional equation: inte...
AbstractIn this paper we study the Hyers–Ulam stability and the superstability of the functional equ...
In this paper, we obtain the superstability of the functional equation f(pr, qs) + g(ps, qr) = θ(pq...
AbstractThe stability behaviour of the functional equation F(y)−F(x)=(y−x)f((x+y)/2) is studied. It ...
The article shows that the system of the functional equations $S(x+y)=S(x)C(y)+S(y)C(x),\,C(x+y)=C(x...
The aim of this paper is to investigate the stability problem for the pexiderized trigonometric func...
In the present paper we deal with the Dhombres-type trigonometric difference f(x + y 2 )2 – f(x − y ...
Abstract. we prove the superstability of a functional inequality associ-ated with general exponentia...
In this paper, we study the superstability problem for the cosine type functional equation f(x₁x₂, x...
AbstractIn this paper we will investigate the stability of the generalized (pexiderized) sine functi...
The aim of this paper is to study the superstability problem of the d’Alembert type functional equat...
We prove a hyperstability result for the Cauchy functional equation \(f(x+y)=f(x)+f(y)\), which comp...
We consider the stability, the superstability and the inverse stability of the functional equations ...
In this paper, we study the superstablity problem of the cosine and sine type functional equations: ...
Abstract. The aim of this paper is to study the superstability problem of the mixed trigonometric fu...
In this paper, we study the superstability for the mu-mixed trigonometric functional equation: inte...
AbstractIn this paper we study the Hyers–Ulam stability and the superstability of the functional equ...
In this paper, we obtain the superstability of the functional equation f(pr, qs) + g(ps, qr) = θ(pq...
AbstractThe stability behaviour of the functional equation F(y)−F(x)=(y−x)f((x+y)/2) is studied. It ...
The article shows that the system of the functional equations $S(x+y)=S(x)C(y)+S(y)C(x),\,C(x+y)=C(x...
The aim of this paper is to investigate the stability problem for the pexiderized trigonometric func...
In the present paper we deal with the Dhombres-type trigonometric difference f(x + y 2 )2 – f(x − y ...
Abstract. we prove the superstability of a functional inequality associ-ated with general exponentia...
In this paper, we study the superstability problem for the cosine type functional equation f(x₁x₂, x...
AbstractIn this paper we will investigate the stability of the generalized (pexiderized) sine functi...
The aim of this paper is to study the superstability problem of the d’Alembert type functional equat...
We prove a hyperstability result for the Cauchy functional equation \(f(x+y)=f(x)+f(y)\), which comp...
We consider the stability, the superstability and the inverse stability of the functional equations ...