Add to ORKGIn this article, using Stirling’s formula, the series-expansion of digamma functions and other techniques, two inequalities involving the geometric mean of natural numbers and the ratio of gamma functions are obtained
AbstractLet {an}n=1∞ be a strictly increasing positive sequence, and let m be a natural number and r...
We improve some inequalities involving the symmetric means. We also prove some mixed-mean inequalit...
AbstractIn this note it is shown that some new extensions of H–G–A inequality (i.e., the harmonic–ge...
For α>0 a real number, the function x√Γ(x+1)/(x+α)√Γ(x+α+1) is increasing with x∈(x0,∞) and logarith...
summary:We prove: If $A(n)$ and $G(n)$ denote the arithmetic and geometric means of the first $n$ po...
In this article, using Stirling’s formula, the series-expansion of digamma functions and other techn...
AbstractWe prove a class of double inequalities for the gamma function which were conjectured by Bat...
The main aim of this paper is to improve the Burnside's formula for approximating the factorial func...
summary:There are many relations involving the geometric means $G_n(x)$ and power means $[A_n(x^{\ga...
AbstractBy using the first Binet's formula the strictly completely monotonic properties of functions...
AbstractIn this note we present some new and structural inequalities for digamma, polygamma and inve...
AbstractWe prove: Let n > 0 be an integer. Then we have for all real numbers r > 0: where both boun...
In this article, the convergence of the sequence [3√ (a + 3√ (a +··· + 3√ (a)))]/n is proved, and so...
AbstractIn this paper we prove a complete monotonicity theorem and establish some upper and lower bo...
AbstractIn this paper, the monotonicity property for a function involving q-gamma and q-digamma func...
AbstractLet {an}n=1∞ be a strictly increasing positive sequence, and let m be a natural number and r...
We improve some inequalities involving the symmetric means. We also prove some mixed-mean inequalit...
AbstractIn this note it is shown that some new extensions of H–G–A inequality (i.e., the harmonic–ge...
For α>0 a real number, the function x√Γ(x+1)/(x+α)√Γ(x+α+1) is increasing with x∈(x0,∞) and logarith...
summary:We prove: If $A(n)$ and $G(n)$ denote the arithmetic and geometric means of the first $n$ po...
In this article, using Stirling’s formula, the series-expansion of digamma functions and other techn...
AbstractWe prove a class of double inequalities for the gamma function which were conjectured by Bat...
The main aim of this paper is to improve the Burnside's formula for approximating the factorial func...
summary:There are many relations involving the geometric means $G_n(x)$ and power means $[A_n(x^{\ga...
AbstractBy using the first Binet's formula the strictly completely monotonic properties of functions...
AbstractIn this note we present some new and structural inequalities for digamma, polygamma and inve...
AbstractWe prove: Let n > 0 be an integer. Then we have for all real numbers r > 0: where both boun...
In this article, the convergence of the sequence [3√ (a + 3√ (a +··· + 3√ (a)))]/n is proved, and so...
AbstractIn this paper we prove a complete monotonicity theorem and establish some upper and lower bo...
AbstractIn this paper, the monotonicity property for a function involving q-gamma and q-digamma func...
AbstractLet {an}n=1∞ be a strictly increasing positive sequence, and let m be a natural number and r...
We improve some inequalities involving the symmetric means. We also prove some mixed-mean inequalit...
AbstractIn this note it is shown that some new extensions of H–G–A inequality (i.e., the harmonic–ge...