AbstractWe show that every Cauchy mean in (0,∞) can be embedded into two parameter family of weighted means. Some basic properties and examples are presented. A functional equation which appears in the problem of symmetry of these means is considered. As an application a natural extension of Stolarsky's means is obtained and a two parameter subclass of weighted power means is determined
Solutions to the functional equation f(x+y)−f(x)−f(y)=2f(Φ(x,y)),x,y>0, are sought for the admis...
In this paper, the power-exponential mean is introduced, several identities involving exponential m...
We give a definition of the weighted elementary symmetric mean, and obtain a class of inequalities ...
AbstractWe show that every Cauchy mean in (0,∞) can be embedded into two parameter family of weighte...
A recent refinement of the classical discrete Jensen inequality is given by Horváth and Pe...
AbstractA weighted generalization of a family of elementary symmetric means is given. Some elementar...
The notion of invariance under transformations (changes of coordinates) of the Cauchy mean-value exp...
Extended means can be viewed as special cases of the well-known weighted means. With this point of v...
Alzer and Ruscheweyh have shown that any mean that is simultaneously a Gini and a Stolarsky mean be...
Extended means can be viewed as special cases of the well-known weighted means. With this point. of ...
In this paper, a generalized weighted functional mean is defined. This includes as special cases va...
In the paper, by the Cauchy integral formula in the theory of complex functions, an integral represe...
In this paper we analyze two classes of functions proposed in the literature to simultaneously gener...
We look after the complementary means with respect to a weighted geometric mean of Stolarsky means i...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
Solutions to the functional equation f(x+y)−f(x)−f(y)=2f(Φ(x,y)),x,y>0, are sought for the admis...
In this paper, the power-exponential mean is introduced, several identities involving exponential m...
We give a definition of the weighted elementary symmetric mean, and obtain a class of inequalities ...
AbstractWe show that every Cauchy mean in (0,∞) can be embedded into two parameter family of weighte...
A recent refinement of the classical discrete Jensen inequality is given by Horváth and Pe...
AbstractA weighted generalization of a family of elementary symmetric means is given. Some elementar...
The notion of invariance under transformations (changes of coordinates) of the Cauchy mean-value exp...
Extended means can be viewed as special cases of the well-known weighted means. With this point of v...
Alzer and Ruscheweyh have shown that any mean that is simultaneously a Gini and a Stolarsky mean be...
Extended means can be viewed as special cases of the well-known weighted means. With this point. of ...
In this paper, a generalized weighted functional mean is defined. This includes as special cases va...
In the paper, by the Cauchy integral formula in the theory of complex functions, an integral represe...
In this paper we analyze two classes of functions proposed in the literature to simultaneously gener...
We look after the complementary means with respect to a weighted geometric mean of Stolarsky means i...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
Solutions to the functional equation f(x+y)−f(x)−f(y)=2f(Φ(x,y)),x,y>0, are sought for the admis...
In this paper, the power-exponential mean is introduced, several identities involving exponential m...
We give a definition of the weighted elementary symmetric mean, and obtain a class of inequalities ...
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