Add to ORKGABSTRACT. An integral representation of Neuman is extended and used to suggest a multidimensional weighted generalized logarithmic mean. Some inequalities are established for such means. A number of known results appear as special cases. 1
In the paper, by the Cauchy integral formula in the theory of complex functions, an integral represe...
For p∈ℝ, the generalized logarithmic mean Lp of two positive numbers a and b is define...
In the article, the logarithmic mean is proved to be completely monotonic and an open problem about...
We present sharp upper and lower generalized logarithmic mean bounds for the geometric weighted mean...
In this paper we establish several inequalities for logarithm and apply them to obtain some new ineq...
A generalized Lazarevic's inequality is established. The applications of this generalized Lazare...
In this paper, a generalized weighted functional mean is defined. This includes as special cases va...
access article distributed under the Creative Commons Attribution License, which permits unrestricte...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing ...
Abstract. Two new proofs of monotonicities with either r, s or x, y of the generalized weighted mean...
The geometric mean operator is defined by Gf(x) = exp(1/x∫0x logf(t)dt). A precise two-sided estimat...
The geometric mean operator is defined by Gf(x) exp ( Ji logf(t)dt). A precise two-sided estimate of...
In this paper we find the best possible lower power mean bounds for the Neuman-Sándor mean and prese...
In this article, another two simple and short proofs of monotonicity for the generalized weighted me...
In the paper, by the Cauchy integral formula in the theory of complex functions, an integral represe...
For p∈ℝ, the generalized logarithmic mean Lp of two positive numbers a and b is define...
In the article, the logarithmic mean is proved to be completely monotonic and an open problem about...
We present sharp upper and lower generalized logarithmic mean bounds for the geometric weighted mean...
In this paper we establish several inequalities for logarithm and apply them to obtain some new ineq...
A generalized Lazarevic's inequality is established. The applications of this generalized Lazare...
In this paper, a generalized weighted functional mean is defined. This includes as special cases va...
access article distributed under the Creative Commons Attribution License, which permits unrestricte...
AbstractA monotonicity result for the ratio between two generalized logarithmic means is established...
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing ...
Abstract. Two new proofs of monotonicities with either r, s or x, y of the generalized weighted mean...
The geometric mean operator is defined by Gf(x) = exp(1/x∫0x logf(t)dt). A precise two-sided estimat...
The geometric mean operator is defined by Gf(x) exp ( Ji logf(t)dt). A precise two-sided estimate of...
In this paper we find the best possible lower power mean bounds for the Neuman-Sándor mean and prese...
In this article, another two simple and short proofs of monotonicity for the generalized weighted me...
In the paper, by the Cauchy integral formula in the theory of complex functions, an integral represe...
For p∈ℝ, the generalized logarithmic mean Lp of two positive numbers a and b is define...
In the article, the logarithmic mean is proved to be completely monotonic and an open problem about...