Results 1 to 10 of about 706,323 (285)
A Best Possible Double Inequality for Power Mean
Journal of Applied Mathematics, 2012 We answer the question: for any p,q∈ℝ with p≠q and p≠-q, what are the greatest value λ=λ(p,q) and the least value μ=μ(p,q), such that the double inequality Mλ(a,b)
Yong-Min Li, Bo-Yong Long, Yu-Ming Chu
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An optimal power mean inequality for the complete elliptic integrals
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miao-Kun Wang +2 more
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A power mean inequality involving the complete elliptic integrals
Rocky Mountain Journal of Mathematics, 2014 In this paper the authors investigate a power mean inequality for a special function which is defined by the complete elliptic integrals.
Xiaohui Zhang, Yu-Ming Chu
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Some matrix inequalities for weighted power mean [PDF]
Annals of Functional Analysis, 2016 In this paper, we prove that, for any positive definite matrices A,B, and real numbers ν,μ,p with −1 ...
Maryam Khosravi
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A new sharp double inequality for generalized Heronian, harmonic and power means
Computers and Mathematics With Applications, 2012 For a real number $p$, let $M_p(a, b)$ denote the usual power mean of order $p$ of positive real numbers $a$ and $b$. Further, let $H=M_{; ; ; -1}; ; ; $ and $He_{; ; ; \alpha}; ; ; = \alpha M_0 + (1 - \alpha) M_1$ for $\alpha \in [0, 1]$. We prove that the double mixed-means inequality \[ M_{; ; ; -\frac{; ; ; \alpha}; ; ; {; ; ; 2}; ; ; }; ; ; (a, b)
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Fractional Ostrowski-type Inequalities via $(\alpha,\beta,\gamma,\delta)-$convex Function [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we are introducing for the first time a generalized class named the class of $(\alpha,\beta,\gamma,\delta)-$convex functions of mixed kind.
Ali Hassan +3 more
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Optimal Inequalities for Power Means [PDF]
Journal of Applied Mathematics, 2012 We present the best possible power mean bounds for the product for any p > 0, α ∈ (0,1), and all a, b > 0 with a ≠ b. Here, Mp(a, b) is the pth power mean of two positive numbers a and b.
Li, Yong-Min +3 more
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The optimization for the inequalities of power means [PDF]
Journal of Inequalities and Applications, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen Jiajin, Wang Wan-Lan
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An inequality for mixed power means [PDF]
Mathematical Inequalities & Applications, 1999 This paper contains a weighted version of a mixed power means inequality proved by \textit{B. Mond} and the reviewer [Austral. Math. Soc. Gaz. 23, No. 2, 67-70 (1996; Zbl 0866.26015)]. If \(s>r\) and if \(w= (w_1,w_2,\dots, w_n)\) satisfy \[ W_n w_k- W_k w_n>0\quad\text{for }2\leq k\leq n-1,\tag{\(*\)} \] where \(W_k:= \sum^k_{i=1} w_i\), then \[ m_{r ...
Tarnavas, Christos D. +1 more
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Two Sharp Inequalities for Power Mean, Geometric Mean, and Harmonic Mean [PDF]
Journal of Inequalities and Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia Wei-Feng, Chu Yu-Ming
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