In this paper, alternative proofs are provided for monotonic and logarithmically convex properties of the one-parameter mean values J(r) and for monotonic properties of the product J(r)J(-r) on (-∞,∞).\ud \u
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...
In the paper, we first prove the logarithmic convexity of the elementary function b x−ax x, where x ...
In this paper, alternative proofs are provided for monotonic and logarithmically convex properties o...
In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonicit...
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 monotonici...
Abstract. In this article, the logarithmic convexity of the one-parameter mean values J(r) and the m...
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 ðÂÂÂ…(p,q;r,s;a,b) is defined by another approach. The criterion ...
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...
A four-parameter homogeneous mean Fp, q; r, s;a, b is defined by another approach. The criterion of...
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...
In the paper, we first prove the logarithmic convexity of the elementary function b x−ax x, where x ...
In this paper, alternative proofs are provided for monotonic and logarithmically convex properties o...
In this article, the logarithmic convexity of the one-parameter mean values J(r) and the monotonicit...
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 monotonici...
Abstract. In this article, the logarithmic convexity of the one-parameter mean values J(r) and the m...
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 ðÂÂÂ…(p,q;r,s;a,b) is defined by another approach. The criterion ...
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...
A four-parameter homogeneous mean Fp, q; r, s;a, b is defined by another approach. The criterion of...
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...
In the paper, we first prove the logarithmic convexity of the elementary function b x−ax x, where x ...
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