Add to ORKGWe present three inequalities involving the power mean Mp(a, b) =( ap 2 + bp 2)1/p of order p (p = 0), the identric mean I(a, b) = 1e aa bb)1/(a−b) and the classical geometric mean G(a, b) = ab
Abstract In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ a...
For p∈ℝ, the generalized logarithmic mean Lp(a,b), arithmetic mean A(a,b), and geomet...
Abstract For t∈[0,1/2] $t\in [0,1/2]$ and s≥1 $s\ge 1$, we consider the two-parameter family of mean...
For p∈R, the power mean of order p of two positive numbers a and b is defined by Mp(a,b)=((ap...
For , the power mean of order of two positive numbers and is defined by , for , and , for...
For all a, b > 0, the following two optimal inequalities are presented: and ]. Here, H(a, b), L(a...
For , the power mean of order of two positive numbers and is defined by . In this paper, we...
We present the best possible power mean bounds for the product Mpα(a,b)M-p1-α(a,b) for any p>0, α∈(0...
AbstractWe find the greatest value p and least value q in (0,1/2) such that the double inequality G(...
We answer the question: for α∈(0,1), what are the greatest value p and the least value q such that ...
AbstractFor p∈R the power mean Mp(a,b) of order p, the logarithmic mean L(a,b) and the arithmetic me...
In this paper we establish two sided inequalities for the following two new means X=X(a,b)=Ae^(G/P−1...
Anisiu and Valeriu Anisiu Abstract. For 0 < a < b, the harmonic, geometric and Hölder means s...
Abstract. We prove certain new inequalities for special means of two arguments, includ-ing the ident...
Abstract. We prove certain new inequalities for special means of two arguments, includ-ing the ident...
Abstract In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ a...
For p∈ℝ, the generalized logarithmic mean Lp(a,b), arithmetic mean A(a,b), and geomet...
Abstract For t∈[0,1/2] $t\in [0,1/2]$ and s≥1 $s\ge 1$, we consider the two-parameter family of mean...
For p∈R, the power mean of order p of two positive numbers a and b is defined by Mp(a,b)=((ap...
For , the power mean of order of two positive numbers and is defined by , for , and , for...
For all a, b > 0, the following two optimal inequalities are presented: and ]. Here, H(a, b), L(a...
For , the power mean of order of two positive numbers and is defined by . In this paper, we...
We present the best possible power mean bounds for the product Mpα(a,b)M-p1-α(a,b) for any p>0, α∈(0...
AbstractWe find the greatest value p and least value q in (0,1/2) such that the double inequality G(...
We answer the question: for α∈(0,1), what are the greatest value p and the least value q such that ...
AbstractFor p∈R the power mean Mp(a,b) of order p, the logarithmic mean L(a,b) and the arithmetic me...
In this paper we establish two sided inequalities for the following two new means X=X(a,b)=Ae^(G/P−1...
Anisiu and Valeriu Anisiu Abstract. For 0 < a < b, the harmonic, geometric and Hölder means s...
Abstract. We prove certain new inequalities for special means of two arguments, includ-ing the ident...
Abstract. We prove certain new inequalities for special means of two arguments, includ-ing the ident...
Abstract In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ a...
For p∈ℝ, the generalized logarithmic mean Lp(a,b), arithmetic mean A(a,b), and geomet...
Abstract For t∈[0,1/2] $t\in [0,1/2]$ and s≥1 $s\ge 1$, we consider the two-parameter family of mean...