Topics
CauchyPerson
The notion of invariance under transformations (changes of coordinates) of the Cauchy mean-value expression is introduced and then used in furnishing a suitable two-variable version of a result by L. Losonczi on equality of many-variable Cauchy means. An assess-ment of the methods used by Losonczi and Matkowski is made and an alternative way is proposed to solve the problem of representation of two-variable Cauchy means. 1. Introduction an
AbstractThe purpose of this paper is to give new characterizations of some mean-values of two positi...
The purpose of this paper was to prove formally, using the Mizar language, Arithmetic Mean/Geometric...
The Cauchy transform of a measure on the circle is a subject of both classical and current interest ...
AbstractWe show that every Cauchy mean in (0,∞) can be embedded into two parameter family of weighte...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
We introduce a formula which generalizes Taylor's theorem from powers of linear terms z-x to functio...
The Cauchy mean-value theorem states that if f and g are two functions continuous on [a,b] and diffe...
AbstractOur aim is to solve the so-called invariance equation in the class of two-variable Gini mean...
AbstractThe invariance of the geometric mean G with respect to the Cauchy mean-type mapping (Df,g,Dh...
If M is a mean on and M(f(x1),f(x2),…,f(xn))=f(M(x1,x2,…,xn)) then we say that M is invariant under...
This note contains more detailed proofs of certain results in the lecture notes on mean embeddings a...
We extend the results on the Mean Value Theorem obtained by Flett, Myers, Sahoo, Cakmak and Tiryaki...
The aim of this note is to characterize all pairs of sufficiently smooth functions for which the mea...
AbstractThe integral means are special Cauchy means (see, e.g., [L. Losonczi, On the comparison of C...
46 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1956.U of I OnlyRestricted to the U...
AbstractThe purpose of this paper is to give new characterizations of some mean-values of two positi...
The purpose of this paper was to prove formally, using the Mizar language, Arithmetic Mean/Geometric...
The Cauchy transform of a measure on the circle is a subject of both classical and current interest ...
AbstractWe show that every Cauchy mean in (0,∞) can be embedded into two parameter family of weighte...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
We introduce a formula which generalizes Taylor's theorem from powers of linear terms z-x to functio...
The Cauchy mean-value theorem states that if f and g are two functions continuous on [a,b] and diffe...
AbstractOur aim is to solve the so-called invariance equation in the class of two-variable Gini mean...
AbstractThe invariance of the geometric mean G with respect to the Cauchy mean-type mapping (Df,g,Dh...
If M is a mean on and M(f(x1),f(x2),…,f(xn))=f(M(x1,x2,…,xn)) then we say that M is invariant under...
This note contains more detailed proofs of certain results in the lecture notes on mean embeddings a...
We extend the results on the Mean Value Theorem obtained by Flett, Myers, Sahoo, Cakmak and Tiryaki...
The aim of this note is to characterize all pairs of sufficiently smooth functions for which the mea...
AbstractThe integral means are special Cauchy means (see, e.g., [L. Losonczi, On the comparison of C...
46 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1956.U of I OnlyRestricted to the U...
AbstractThe purpose of this paper is to give new characterizations of some mean-values of two positi...
The purpose of this paper was to prove formally, using the Mizar language, Arithmetic Mean/Geometric...
The Cauchy transform of a measure on the circle is a subject of both classical and current interest ...
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