Add to ORKGIn the present paper we deal with the Dhombres-type trigonometric difference f(x + y 2 )2 – f(x − y 2)2 + f(x + y) + f(x − y) − f(x) [f(y) + g(y)], assuming that its absolute value is majorized by some constant. Our aim is to find functions and which satisfy the Dhombres-type trigonometric functional equation and for which the differences f - f and g - g are uniformly bounded
AbstractIn this work the Hyers–Ulam–Rassias stability of the Davison functional equation f(xy)+f(x+y...
Abstract. In this paper, we achieve the Hyers-Ulam-Rassias stability of the following system of func...
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...
In the present paper we study the generalized Hyers–Ulam stability of the generalized trigonom...
The aim of this paper is to investigate the stability problem for the pexiderized trigonometric func...
We will investigate the superstability of the (hyperbolic) trigonometric functional equation from th...
Let S and G be a commutative semigroup and a commutative group, respectively, C and R+ the sets of c...
Let (G, +) be a uniquely 2-divisible Abelian group. In the present paper we will consider the soluti...
Abstract. Stability problems concerning the functional equations of the form f(2x+ y) = 4f(x) + f(y...
Abstract. The aim of this paper is to study the superstability problem of the mixed trigonometric fu...
AbstractIn this paper we establish the general solution of the functional equation 6f(x+y)−6f(x−y)+4...
AbstractIn this work, we prove that approximate trigonometric functions are bounded. That is, if a n...
AbstractThe stability of the functional equation F(x+y)−G(x−y)=2H(x)K(y) over the domain of an abeli...
Tyt. z nagł.References p. 526-527.Dostępny również w formie drukowanej.ABSTRACT: Stability problems ...
The main purpose of this paper is to investigate the stability of the functional equation f(x+y,y+z)...
AbstractIn this work the Hyers–Ulam–Rassias stability of the Davison functional equation f(xy)+f(x+y...
Abstract. In this paper, we achieve the Hyers-Ulam-Rassias stability of the following system of func...
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...
In the present paper we study the generalized Hyers–Ulam stability of the generalized trigonom...
The aim of this paper is to investigate the stability problem for the pexiderized trigonometric func...
We will investigate the superstability of the (hyperbolic) trigonometric functional equation from th...
Let S and G be a commutative semigroup and a commutative group, respectively, C and R+ the sets of c...
Let (G, +) be a uniquely 2-divisible Abelian group. In the present paper we will consider the soluti...
Abstract. Stability problems concerning the functional equations of the form f(2x+ y) = 4f(x) + f(y...
Abstract. The aim of this paper is to study the superstability problem of the mixed trigonometric fu...
AbstractIn this paper we establish the general solution of the functional equation 6f(x+y)−6f(x−y)+4...
AbstractIn this work, we prove that approximate trigonometric functions are bounded. That is, if a n...
AbstractThe stability of the functional equation F(x+y)−G(x−y)=2H(x)K(y) over the domain of an abeli...
Tyt. z nagł.References p. 526-527.Dostępny również w formie drukowanej.ABSTRACT: Stability problems ...
The main purpose of this paper is to investigate the stability of the functional equation f(x+y,y+z)...
AbstractIn this work the Hyers–Ulam–Rassias stability of the Davison functional equation f(xy)+f(x+y...
Abstract. In this paper, we achieve the Hyers-Ulam-Rassias stability of the following system of func...
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...