In this article, the author introduces the generalized abstracted mean values which extend the concepts of most means with two variables, and researches their basic properties and monotonicities
AbstractThe purpose of this paper is to give new characterizations of some mean-values of two positi...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
AbstractIn this paper, we study the invariance of the geometric mean with respect to some generalize...
In this article, the author introduces the generalized abstracted mean values which extend the conce...
The extended mean values E(r, s; x, y) play an important role in theory of mean values and theory of...
The generalized mean M(x,y) is defined to be Ψ-1 [pΨ (x) + aΨ (y)] where p, a\u3e0, p + a = 1 and Ψ ...
Abstract. Two new proofs of monotonicities with either r, s or x, y of the generalized weighted mean...
Abstract. The extended mean values E(r, s;x, y) play an important role in theory of mean values and ...
Every student of elementary mathematics is acquainted with the concepts of the arithmetic mean, the ...
The extended mean values E(r, s; x, y) play an important role in theory of mean values and theory of...
In this article, another two simple and short proofs of monotonicity for the generalized weighted me...
AbstractA class of means is defined and an inequality is established for them. Some standard inequal...
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...
summary:We present some properties of mixture and generalized mixture operators, with special stress...
Abstract. In this article, a new proof of monotonicity for extended mean values is given
AbstractThe purpose of this paper is to give new characterizations of some mean-values of two positi...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
AbstractIn this paper, we study the invariance of the geometric mean with respect to some generalize...
In this article, the author introduces the generalized abstracted mean values which extend the conce...
The extended mean values E(r, s; x, y) play an important role in theory of mean values and theory of...
The generalized mean M(x,y) is defined to be Ψ-1 [pΨ (x) + aΨ (y)] where p, a\u3e0, p + a = 1 and Ψ ...
Abstract. Two new proofs of monotonicities with either r, s or x, y of the generalized weighted mean...
Abstract. The extended mean values E(r, s;x, y) play an important role in theory of mean values and ...
Every student of elementary mathematics is acquainted with the concepts of the arithmetic mean, the ...
The extended mean values E(r, s; x, y) play an important role in theory of mean values and theory of...
In this article, another two simple and short proofs of monotonicity for the generalized weighted me...
AbstractA class of means is defined and an inequality is established for them. Some standard inequal...
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...
summary:We present some properties of mixture and generalized mixture operators, with special stress...
Abstract. In this article, a new proof of monotonicity for extended mean values is given
AbstractThe purpose of this paper is to give new characterizations of some mean-values of two positi...
AbstractFor a function f defined in an interval I, satisfying the conditions ensuring the existence ...
AbstractIn this paper, we study the invariance of the geometric mean with respect to some generalize...