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
peer reviewedThe invariance identity involving three operations D_{f,g} : X x X -> X of the form D_...
AbstractLet a positive integer k≥2 and an interval I⊂R be fixed. For a continuous strictly monotonic...
Aczél’s and Ryll-Nardzewski’s dyadic iterations are iterative procedures which associate to a given ...
AbstractWe show that every Cauchy mean in (0,∞) can be embedded into two parameter family of weighte...
Given two means M and N, the operator MM,NMM,N assigning to a given mean μ the mean MM,N(μ)(x,y)=M...
AbstractThe invariance of the geometric mean G with respect to the Cauchy mean-type mapping (Df,g,Dh...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
peer reviewedLet $I\subset (0,\infty )$ be an interval that is closed with respect to the multiplic...
AbstractIn this paper, we study the invariance of the geometric mean with respect to some generalize...
AbstractThe aim of this paper is to find those pairs of generalized quasi-arithmetic means on an ope...
In this article, the author introduces the generalized abstracted mean values which extend the conce...
AbstractWe determine the class of all pairs of the Lagrangian means forming mean-type mappings which...
Given two functions f, g : I -> R and a probability measure mu on the Borel subsets of [0, 1], the t...
We investigate the representation of homogeneous, symmetric means in the form M (x, y) = x − y 2f x−...
The weighted power mean is one of the most famous 2-parameter operator mean, and its representing fu...
peer reviewedThe invariance identity involving three operations D_{f,g} : X x X -> X of the form D_...
AbstractLet a positive integer k≥2 and an interval I⊂R be fixed. For a continuous strictly monotonic...
Aczél’s and Ryll-Nardzewski’s dyadic iterations are iterative procedures which associate to a given ...
AbstractWe show that every Cauchy mean in (0,∞) can be embedded into two parameter family of weighte...
Given two means M and N, the operator MM,NMM,N assigning to a given mean μ the mean MM,N(μ)(x,y)=M...
AbstractThe invariance of the geometric mean G with respect to the Cauchy mean-type mapping (Df,g,Dh...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
peer reviewedLet $I\subset (0,\infty )$ be an interval that is closed with respect to the multiplic...
AbstractIn this paper, we study the invariance of the geometric mean with respect to some generalize...
AbstractThe aim of this paper is to find those pairs of generalized quasi-arithmetic means on an ope...
In this article, the author introduces the generalized abstracted mean values which extend the conce...
AbstractWe determine the class of all pairs of the Lagrangian means forming mean-type mappings which...
Given two functions f, g : I -> R and a probability measure mu on the Borel subsets of [0, 1], the t...
We investigate the representation of homogeneous, symmetric means in the form M (x, y) = x − y 2f x−...
The weighted power mean is one of the most famous 2-parameter operator mean, and its representing fu...
peer reviewedThe invariance identity involving three operations D_{f,g} : X x X -> X of the form D_...
AbstractLet a positive integer k≥2 and an interval I⊂R be fixed. For a continuous strictly monotonic...
Aczél’s and Ryll-Nardzewski’s dyadic iterations are iterative procedures which associate to a given ...
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