A four-parameter homogeneous mean ðÂÂÂ…(p,q;r,s;a,b) is defined by another approach. The criterion of its monotonicity and logarithmically convexity is presented, and three refined chains of inequalities for two-parameter mean values are deduced which contain many new and classical inequalities for means
article distributed under the Creative Commons Attribution License, which permits unre-stricted use,...
In the present paper, we discuss the basic properties of a type of symmetric mean values. Such\ud re...
In the present paper, we discuss the basic properties of a type of symmetric mean values. Such resu...
A four-parameter homogeneous mean F(p, q; r, s; a, b) is defined by another approach. The criterion...
A four-parameter homogeneous mean F(p, q; r, s; a, b) is defined by\ud another approach. The criteri...
A four-parameter homogeneous mean Fp, q; r, s;a, b is defined by another approach. The criterion of...
In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonici...
Abstract. In this article, the logarithmic convexity of the one-parameter mean values J(r) and the m...
In this article, the logarithmic convexity of the one-parameter\ud mean values J(r) and the monotoni...
In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonicit...
In this paper, alternative proofs are provided for monotonic and logarithmically convex properties o...
In this paper, alternative proofs are provided for monotonic and logarithmically convex properties o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
article distributed under the Creative Commons Attribution License, which permits unre-stricted use,...
In the present paper, we discuss the basic properties of a type of symmetric mean values. Such\ud re...
In the present paper, we discuss the basic properties of a type of symmetric mean values. Such resu...
A four-parameter homogeneous mean F(p, q; r, s; a, b) is defined by another approach. The criterion...
A four-parameter homogeneous mean F(p, q; r, s; a, b) is defined by\ud another approach. The criteri...
A four-parameter homogeneous mean Fp, q; r, s;a, b is defined by another approach. The criterion of...
In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonici...
Abstract. In this article, the logarithmic convexity of the one-parameter mean values J(r) and the m...
In this article, the logarithmic convexity of the one-parameter\ud mean values J(r) and the monotoni...
In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonicit...
In this paper, alternative proofs are provided for monotonic and logarithmically convex properties o...
In this paper, alternative proofs are provided for monotonic and logarithmically convex properties o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
In this article, the logarithmic convexities of the extended mean values are proved, an inequality o...
article distributed under the Creative Commons Attribution License, which permits unre-stricted use,...
In the present paper, we discuss the basic properties of a type of symmetric mean values. Such\ud re...
In the present paper, we discuss the basic properties of a type of symmetric mean values. Such resu...
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