AbstractWe find the greatest value p and least value q in (0,1/2) such that the double inequality G(pa+(1−p)b,pb+(1−p)a)<I(a,b)<G(qa+(1−q)b,qb+(1−q)a) holds for all a,b>0 with a≠b. Here, G(a,b), and I(a,b) denote the geometric, and identric means of two positive numbers a and b, respectively
Abstract In the article, we present the best possible parameters λ = λ ( p ) $\lambda=\lambda (p)$ a...
Abstract In the article, we prove that the double inequalities M α ( a , b ) < S Q A ( a , b ) < M β...
AbstractFor a real number p, let Mp(a,b) denote the usual power mean of order p of positive real num...
For , the power mean of order of two positive numbers and is defined by , for , and , for...
We present three inequalities involving the power mean Mp(a, b) =( ap 2 + bp 2)1/p of order p (p = ...
Let I(x, y),G(x, y), and P (x, y) be the identric, geometric, and Seif-fert’s means of two positive ...
In this paper, we answer the question: for 2 (0; 1), what are thegreatest value p = p() and least v...
For fixed s≥1 and any t1,t2∈(0,1/2) we prove that the double inequality Gs(t1a+(1-t1)b,t1b+(1-t1)a)A...
We answer the question: for α∈(0,1), what are the greatest value p and the least value q such that ...
For p∈ℝ, the generalized logarithmic mean Lp(a,b), arithmetic mean A(a,b), and geomet...
For all a, b > 0, the following two optimal inequalities are presented: and ]. Here, H(a, b), L(a...
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...
In the paper, we provide an alternative and united proof of a double in-equality for bounding the ar...
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...
Abstract In the article, we prove that the double inequalities M α ( a , b ) < S Q A ( a , b ) < M β...
AbstractFor a real number p, let Mp(a,b) denote the usual power mean of order p of positive real num...
For , the power mean of order of two positive numbers and is defined by , for , and , for...
We present three inequalities involving the power mean Mp(a, b) =( ap 2 + bp 2)1/p of order p (p = ...
Let I(x, y),G(x, y), and P (x, y) be the identric, geometric, and Seif-fert’s means of two positive ...
In this paper, we answer the question: for 2 (0; 1), what are thegreatest value p = p() and least v...
For fixed s≥1 and any t1,t2∈(0,1/2) we prove that the double inequality Gs(t1a+(1-t1)b,t1b+(1-t1)a)A...
We answer the question: for α∈(0,1), what are the greatest value p and the least value q such that ...
For p∈ℝ, the generalized logarithmic mean Lp(a,b), arithmetic mean A(a,b), and geomet...
For all a, b > 0, the following two optimal inequalities are presented: and ]. Here, H(a, b), L(a...
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...
In the paper, we provide an alternative and united proof of a double in-equality for bounding the ar...
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...
Abstract In the article, we prove that the double inequalities M α ( a , b ) < S Q A ( a , b ) < M β...
AbstractFor a real number p, let Mp(a,b) denote the usual power mean of order p of positive real num...
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